Introduction to solving an equation with variables on both sides | Algebra I | Khan Academy

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Sal solves the equation 2x + 3 = 5x - 2.
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Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios.
About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything.
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[@summerglitter1831]

dear algebra, dont ask me to find your x, she is not coming back and dont ask me y

[@carolinerose7511]

summer glitter I LOVE THIS COMMENT 😂💕

[@mayawildes2818]

dear math, I am not a therapist- solve your own problems

[@grannie5957]

summer glitter lel

[@laibakhan2261]

Cliche

[@vincenttheodorearifin7305]

Hahahah

[@MODAV]

An 8 min video, it took my teacher a whole period to explain this

[@numbersletters2920]

1➗85=

[@NicholasAstralGarden]

Mo 193 teachers take too long

[@homeboi808]

As a teacher, we are “forced” to teach from bell-to-bell, so even if I know it’ll only take 20min, I have to stretch it to ~1hr because my bosses think that is better.

[@symbolbouchardnoteira8155]

@@homeboi808 math is infinite and eternal life is finite and our limited life span is too short at present explain it as fast as possible because I am certain in modern era a lot of people want desire a higher education.

[@antinoye973]

Mo 193 my teacher doesn’t even teach ... LITERALLY... she gives us videos that don’t really help..

[@brendajones5186]

Thank u, my teacher doesnt know what shes doing im get in now

[@nova-rd9in]

Lol

[@Ethan-qe8pe]

Same

[@twerkonlilbro]

Lmaoo

[@imakevideos5186]

Same

[@Logan-ct5sm]

Same

[@beyoncegarrido3978]

I can’t believe I had to go this far to do my dang hw correctly

[@theNova99]

Mohamed Shahin *ThEn PaY aTtEnTiOn In ClAsS* but srsly. pay attention.

[@Kiakuh]

GamingPlazaAberin it’s not that easy when there are dickheads screaming their heads off in the back of class

[@TheKenpachi_]

Same, this is what happens when your absent for a day in middle school

[@antinoye973]

Beyoncé Garrido Ikr !!

[@antinoye973]

Achilles Louis literally me rn

[@dragen147]

thank you my teacher does not understand that no one understands what she is doing.

[@suruchichaudhary606]

@Alexia Aflallo Álvarez de Toledo what do u mean?

[@numbersletters2920]

1➗82=

[@kamto_fine555]

dragen147 omg same😂

[@josed6739]

Alexia Aflallo Álvarez de Toledo because we have to solve it by its opposite so if it’s -2 we have to +2 or add 2. and if it’s +2 then we -2 or subtract 2

[@nasiphus]

i'm pretty sure your teacher fully understands what shes teaching, cause it's her job

[@ChessNetwork]

Nicely explained. :) Thumbs up!

[@neoarmstrongcyclonejetarms9326]

👍👍👍

[@imggt]

ChessNetwork am from future 10 years later you will have 420k subs and good at chess

[@imakevideos5186]

@@imggt lol

[@yoboy2619]

10 year old comment review 🙃

[@TieDyeGuy-rp6qs]

@@imggt I’m from 1 year in the future and chessnetwork has 466k

[@alexdubois4912]

I wish my math teacher was as good as you

[@bryceb3796]

Alexander Dubois same

[@joshandserenaheiden4247]

same here lol

[@eecm1827]

same here

[@ChefGL1TCH]

Same my math teacher just gives us paper and says copy whats on the board then gives us a work sheet thinking we know how to do the work and then a week or 2 later gives us a test thing we know how to do the work when she is teaching lessons in 10 to 15 min rushing through stuff cause she likes to talk the entire class time and she cant do stuff visualy she just writes down what in the answer key and does a tiny bit of math in her head and calls herself a good math teacher

[@pumpersjd4834]

The best teachers i want to have is khanacademy and mathantics

[@screamingmikewazowski5237]

I hate everything... ESPECIALLY THESE ONLINE CLASSES AND ALGEBRA

[@discuamusic7401]

I totally agree

[@staceywright833]

Same

[@deniztaslicukur6226]

fr :(

[@superawesomecaillougod6664]

Your profile picture goes with that comment perfectly

[@shafiasif7247]

one of my online classes = 3 regular 75 minute periods so...

[@screamingmikewazowski5237]

Does anyone else think that ur getting much more work during online classes than u would during a regular class

[@discuamusic7401]

Bruh thats exactly my case right now

[@screamingmikewazowski5237]

KPop__is __생명saengmyeong ik i mean they say that because they “want the best from us” when we all know well that they didn’t do so much work back then (im assuming)

[@destinyaretrue2614]

Yes and its annoying 😭

[@linolopez3325]

Absolutely

[@screamingmikewazowski5237]

KPop__is __생명saengmyeong exactly they expect us to learn new stuff and yet we have no explaining and no help when we dont get it

[@Maximillion11]

1. settings 2. speed 3. 1.25 4. Thank me

[@girllcosmic]

Thank you 😭

[@Dnlrmrez]

1.5 even

[@truthlennards8614]

C:D

[@pizzapug2663]

i expected something funny. how dare u clickbait me

[@NicholasAstralGarden]

O not doing this because this class is an hour 20 minutes and I want this to go as quickly as possible

[@baseballisgoat574]

Khan Academy is awesome! Being in 7th grade and online school makes learning a burden! Thank you so much!!!!

[@jegirveifbisnhekevdu]

Bro my math teacher says there is 3 different possible solutions for this

[@sleeken]

My math teacher just doesn’t explain stuff well he just tells us what to do for 5 minutes and then we have to do it on pencil and paper

[@josenemburg6112]

Khan had done so much for me and I thank you just want to point that out.

[@numbersletters2920]

1➗87=

[@dta-doubletimeanimations7689]

numbers letters get a damned calculator

[@freshappleseed6966]

Wow, this video is incredible! My teacher goes crazy fact and usually I can barely keep up. This is going to be a major help throughout the school year.

[@raz1n.r]

This WAS a really good video but iam still very confused 🤷‍♂️

[@subjectory]

same

[@Yui-vc6xh]

Yeah

[@screamingmikewazowski5237]

I didnt even pay attention im just looking at the comments plus i still dont get it

[@imtiazahmad2890]

@@screamingmikewazowski5237 thats probably why

[@mohamadalbakjaji1631]

.

[@Jacob-mx6ie]

CAN I GET A PRIVATE MATH CLASS?? AND CAN I PLEZ BE ADOPTED??

[@numbersletters2920]

1➗87=

[@tylersanchez9674]

mystery mystery hello

[@Luluuuuuuuu_12]

Mystery again

[@ro_lucas7812]

@@numbersletters2920 38?

[@malakl8137]

@@numbersletters2920 0.01234567901

[@AndalaASMR]

As someone who does struggle with adhd and reviewing math before going for a chemist degree, I super duper appreciate you showing us what the equations actually represent. It helps more than you know!

[@cee9945]

Not even sure how my teacher is qualified 💀

[@user-wf7hy7sx1l]

fr😣

[@randomcactus5678]

My teacher is overqualified and overwhelms us with an overly complex description of a very simple concept that takes all class

[@ratgirl5167]

Y’all are getting me through my algebra final tomorrow you’re the real MVP

[@Ethan-qe8pe]

How did you do

[@janellafrancis5508]

Khan is my life saviour, I love these so much especially leading up to final exams.

[@milady1377]

all these people talking about how their teacher doesn’t even make sense, for me my teacher doesn’t even do the video herself 😆

[@shulaarmintor7644]

Tell me why whatever my algebra teacher says goes in one ear and out the same ear. (it does a little u-turn) But I actually learn from Khan academy.

[@Ethan-qe8pe]

Top 10 mysteries that will Never be solved

[@randomidiotonline5072]

Most likely because the videos work at a different pace, and only do one or two problems. In lessons, teachers tend to do several upon several questions, slowly helping you lose focus throughout. Well, that's my own experience and opinion. Maybe it's just because Khan academy is prerecorded, easily accessed, and you can skip time ahead as long as go back.

[@flower_sunshine2021]

they make it so easier for you to understand, really appreciate it🙏

[@dionda77]

Thank you for these videos and the way u explain things makes it so much easier

[@ruhani1942]

When my math teacher talks gibberish for a whole class period, I know i can always count on Kahn Academy to make it clear

[@password8866]

Why did you choose to subtract 2n instead of subtracting 5n? This is were i get comfuse because i always choose to subtract or add from the wrong side you need to explain this step. Ive been on you're app and this part gets me stuck

[@sebzweebyt3974]

yes i dont understand

[@johnrosario4280]

My teacher could barely teach me this concept for 2 weeks, but this man right here helped me learn it in about 30 minutes! Thanks So Much! :D

[@aanyamehra1621]

Yo- my math teacher took 2 months (it’s still not done) it’s not that _she_ didn’t teach well it’s cuz of that one guy in class who asks nonsensical doubt for attention

[@aviation46]

my mom is yelling at my to do my homework (which i don’t understand) so i have to watch math videos, and yours are the best! thanks

[@Nadrealis]

Dear Mr. Khan, I would like to know what program you are using for this. I love the approach you're taking when you write out equations. I've looked through most of your math videos and love the format. Thanks.

[@THOKZCHOMZ]

Good teacher 🔥💯

[@swiffer7243]

Thank you so much for the help I am a struggling algebra 1 student taking 9th grade early this help means a lot to me.

[@mrhoolaganvgd9808]

what program does he use to write all the stuff

[@grenenamek7669]

Ms paint

[@kat-sz6tq]

MrHoolagan I always ask that question! Do you think that program is great for digital art?

[@kyraphobic]

Katherine Gonzalez adobe draw is really good for digital art

[@MR_MIRTH]

ms paint is terrible for drawing, use autodesk krita or adobe and or anything else

[@villageronps5317]

Probably just MS Paint.

[@BringBack500s]

Excellent as always, clear, made as simple as it needs to be to get to the result, and several ways to represent the problem.

[@coleboone6985]

@khan academy you are the best math teacher EVER

[@bigupkyreace6213]

He makes it so simple. Thank you I have a big test coming up in September and this really helped

[@Ethan-qe8pe]

How did you do?

[@youngjames4067]

i switched schools and it was an entire year since i had learned how to do this, my teacher literally acts like its the most impossible thing on earth to simply run over this when you did it in 8 minutes. my knowledge is coming back a little so i really have to thank you

[@abosedebadmus1954]

I was struggling to understand how to do equations with polynomials and you helped me a lot!😀

[@zuhrazozo3047]

Me: I want to cryyyyyyy!😭😢

[@engineerered4577]

Just started this and didn't understand it, but this video really helped me what we are looking for in these kinds of problems, and how to solve.

[@NeonTuxedoCheesecake]

Hah we have a test today and I’m staying sick so this is helping me extra study for the retake 💀

[@belalfarid1484]

That was soooo simple, u organized my life!! OOO boy, my life is easier now, thxxx

[@opaldoesnotrhyme]

I'm in Algebra honors, but I never truly understood solving equations with variables (which is a huge part if algebra), until now. None of my teachers have explained it this well or thoroughly, and now I completely understand it. So thank you.

[@GYAOMFEN]

Are you still here

[@opaldoesnotrhyme]

@@GYAOMFEN I actually now teach algebra and am currently taking Differential Equations 2 in college!

[@lordofducks3430]

@@opaldoesnotrhyme Wow that's amazing!

[@bigboi3339]

I’m still confused only because i have a math question thats looks different from the example question that’s he’s using, but it’s supposed to be the same steps that he uses to solve his...

[@the_big_nate5144]

I find it funny how a 9 minute video teaches me more than my teacher doing 3 periods

[@kariokiinoc]

Thank You, Thank you, Oh how I wish I had a teacher like this when I was in high school. In my day, you were not required to take any thing higher than basic math, I have never learned alegebra. I am now returning to school to earn a Bachelors Degree and this site is my new best friend !!!!!! Thank you again, I so appreciate all that you are doing.

[@yoboy2619]

You in college now huh?(comment review)

[@duplicpapers8753]

How are u now bro

[@reynacarpio1693]

wow this literally saved my life he explained step by step thank you

[@jacobcourson4428]

Awesome.

[@medhasarker6967]

Can i just quit school and just make this my school

[@polygames4712]

Showing the logic of why you do something in math makes such a huge difference. I don't understand how anyone can learn math in school it was just like now we do this following order of operations without explaining why so as soon as I encountered a problem that wasn't covered in the practice or mixed different concepts I wouldn't be able to figure it out

[@IQ-rl2wx]

This video is so important as you will use these basics forever in numerous other subjects

[@slimeymoose4038]

I thought I'd be fine with staring at a screen for 8+ hours for school. I was wrong. So so wrong. I can't feel my eyes.

[@kainoahthefrog]

I'm here because of my Algebra class... One word... BYE

[@wearetoxin5204]

We greatly appreciate you doing this for the world

[@mathmanchris666]

Super well explained man! I just lurk onto Khan academy for some accelerated learning as the curriculm in my school isn't very vast or dense difficulty wise. Thank you for posting this video!

[@tobyfan3091]

Can u be my math teacher

[@lailamccampbell487]

im a 7th grader taking algebra and ITS NOT IT BRUH. Highkey wanna scream-how the hell did i get into this class anyway i-???

[@papagurth28]

how likely are we gonna math past ninth grade

[@MrBonQuiQui-zv1wr]

@@papagurth28 you get math up until 10th grade then its optional

[@MrBonQuiQui-zv1wr]

you start algebra in either 6 - 8th grade then move on to algebra 1 (9th grade) then algebra 2 (10th grade) or you can start early like i did which is algebra 1 in 8th grade with algebra 2 in 9th while I took pre-algebra in 6th.

[@stopbeingweird5335]

Did you at least have pre algebra?

[@8abyx]

An 8 minute video taught me more than 4 classes with my math teacher, thank you :)

[@bevman5364]

Thanks alot Khan academy i was really stumped on this stuff

[@evand.7352]

I don’t get it

[@theamazingmanski3001]

AnYonE 2019

[@jemcand9016]

2020

[@manicpixie8672]

2020 I'm from the future

[@curlyclouds8425]

no

[@ariannee5107]

Totally not me using a different formula but still got the correct answer

[@ProfessorTheNinjaAJ]

This video was a big help. Thank you so much!

[@RikkuMaraschino]

My equation is: 2m = 24 + 3m I'm confused because of the single number on that side do I add?

[@TheJoey3590]

Just solve for m. There are different ways to approach this equation. The most simple way would be to subtract -3m to the other side so it becomes -m = 24. From here, it becomes m = -24. Another way would be to subtract 2m to the other side with 24 + 3m. Therefore the equation becomes 0 = 24 +m. The last step for this way is to subtract the 24 to the other side, giving you the answer : m = -24. The whole process involves trying to get the variable on one side all by itself.

[@jonathansmith1899]

Was it just me,or did 5:09 blow everyone's mind

[@ilanmoore6957]

it also blew my mind

[@templar01]

Dolphins Killed My Bird what blew your mind

[@tushardadhich2080]

Dolphins Killed My Bird it blew my mind

[@tushardadhich2080]

Dolphins Killed My Bird ya what did

[@s_xi1]

9 mins to explain how to solve equations with variables on both sides, Mind you my teacher have been trying to get this in my mind for the past 1 week and I have and exam tomorrow. Such a life saver thank you!

[@abeerbakshi]

You are the best Khan Honestly there is no one out there on youtube that is as helpful as you You have helped people getting from an b to maybe an a and this shows improvement which tells us that you are such a great help Thank you Khan

[@editaeditioncommedy2338]

ho my brother dot whisper

[@mlyka17]

I’m watching a 9 year old video 😂😂

[@londy7328]

M L Y K A • same 😔🤦🏽‍♀️

[@sammy.lovelyz]

I’m 12 n we r learning this rn😑😑

[@dorianjp]

I don't understand anything.

[@andrewg7779]

He explained it really clearly if you dont understand you might want to go to solving equations with one variable

[@cassandraservo]

Same 😭😭 My test in Math is tomorrow but i don’t know anything 😪

[@Tanker791]

thanks for the video tips i'm in 4th grade and since i want to learn algebra right now so i dont do it later in the future ill already know some of the awnser and this video and you'r other videos helped alot thanks khan academy for helping me learn good ways to study algebra.

[@liaaaaaa.]

great job!

[@williamfairchild8973]

This video helped me so much with my homework thank you !

[@ernestchan5684]

I’m gonna fail my test

[@weezerfan6942]

sorry, i still dont understand

[@jaayaedaku]

Kinda weird that this video is having more than 2 million views , but not even 10k likes..

[@tashmeebs]

This vid seems to be way more complicated than it should be... What I learned was to get all the X variables on one side and all none variables on the other. In other words, subtract the 5X from the right to the left, creating a negative 3X, and subtrating 3 from the left anf moving it to the right. Then you have negative 3X equals negative 5. When you divide the neg. 3 from the X, you get the answer: 5/3. It's real simple. Just remember to get all variables on one side.

[@jocelyndesantos2687]

to much info isn't there a shorter way to do this?

[@leagueofcarry1053]

2x+3=5x-2 -2x -2x 3=3x-2 +2 +2 5=3x Divide by 3 on each side 5/3=x AKA: x=5/3 takes less than 30 seconds once u get the hang of it

[@miguelduenas4146]

Jocelyn Desantos hi

[@oliviamiller4400]

Yes

[@jaco2092]

Yeah dont and move on with your life.

[@vincenttheodorearifin7305]

Its and education video

[@DarkenedLights666]

You should try to explain slower

[@miamiric6051]

You can slow down the video and he repeats things about 50 times...

[@ellieebner9820]

I'm so glad I don't feel stressed anymore haha!

[@henryharris7745]

Even though I am only partially through the video when you had the visual up I had a light bulb moment remembering how my teacher taught this to me so it still helped but thanks

[@saptadweepaganguly8297]

this is actually practical for a 11-year-old who has been just introduced to algebra...the video's awesome...😊😍😉😄;🤩🙂🎉

[@kojoanobah3617]

thanks, bro you've helped me a lot

[@susantangel5448]

Thank you sooooooooo much. I'm going into advanced algebra and need this so bad.

[@GodlessMorality]

Awesome explanation! Thank you so much!!!!

[@smartapplesuperkids6774]

This is a great video on solving equations with variables on both sides.

[@calebdowdle3369]

My gosh this excactly what i needed because im going to 7th grade but im still in 6th grade in 4th quarter and this really helps ive seen other videos that really help me you should be a online teacher NO joke this would help a lot of kids even kids who are home schooled and have problems with math you would be a great online teacher. Who agrees with me???????? comment yes or no

[@megamindgaming13]

Thank you so much this cleared everything up for me

[@chakrikapolavarapu3800]

Dear algebra don’t force me to solve your problems with math

[@joshandserenaheiden4247]

Wow, this helped me A LOT, thank you so much

[@melanieheineman7284]

Thank you so much!!!!!!!!!! I was so confused on my variables and I finally got it!!!!!

[@Marengto]

Excellently explained, thank you very much

[@thecollector3377]

11 years later this video still useful

[@moyai6618]

DEAR MATH WHY DONT YOU SOLVE YOUR OWN PROBLEMS Thx this video helped so much

[@starzthelimit3563]

You are a godsend! I finally understand this!!!! Everyone just says subtract this from both sides and add this to both sides without an explanation on why and I'm left thinking huh?????!!!!

[@user-uz9xp6sv8n]

Sal, the god of explaining math.

[@oatmealcookiedumpster5160]

Thanks this helps a lot I missed a lesson with my math teacher and then I had to watch a video to find out how to do my homework before school it really helps thanks

[@blender699]

Great explanation, and showing how you can check your own work 👌

[@mintyrl4632]

i hate my teacher, she doesn't explain anything, she writes everything on the board without explaining it and makes us copy, than she gets mad at me when i dont know the answer when she calls on me, thank you this helped a bit

[@hudakhalil3463]

Thank u so much... This helped alot... U were literally my last hope... Im so happy I finally get this

[@myson291]

God bless this man. I have an algebra test tomorrow and probably would’ve failed without this

[@itsurmomoclock6503]

ty I’m currently crying on the night before the test 🤘😀

[@dvorak3935]

if x=5/3 we can check our work by multiplying 2/1 and 5/3 which equals 10/3 then adding 9/3 this equals 19/3 or 6 1/3. on the second half of the equation we do the same. 5/1 multiplied by 5/3 which equals 25/3. we then subtract 6/3. this will equal 19/3 or 6 1/3. this is how we can check our work on this equation.

[@DrWavy-fq2qk]

thank you, you helped alot

[@destinyorieh1376]

khan academy videos always explain stuff way better than my teacher. idk whatttt he b talkin bout.