8 times the Absolute value of (2x + 3) = 16 BASIC Algebra concept! (Absolute Value Equations)

[@Carmelobrian]

I finally understand this. Thank you

[@gavindeane3670]

We can straight away divide both sides by 8, so we have |2x+3| = 2 therefore 2x+3 = ±2 2x = -3 ± 2 x = -1.5 ± 1 x = -0.5 or -2.5

[@robertstuart6645]

Very good way of showing how to solve. The first thing to do is get the absolute value term all by itself.

[@tomtke7351]

8 × { |2x+3| } = 16 { |2x + 3| } = 2 |x + (3/2)| = 1 x + (3/2) = +/-1 x = +/-1 -(3/2) x = -(1/2) sol.1 x = -(5/2) sol.2

[@truuluvv]

thank you, I learned something

[@KidrauhlUwU-ky1he]

Well done 👍 today I understand very well

[@dazartingstall6680]

8|2x + 3| = 16 |2x + 3| = 2 If 2x + 3 = 2 Then 2x = −1 x = −0.5 If 2x + 3 = −2 Then 2x = −5 x = −2.5

[@panlomito]

| 2x + 3 | = 16/8 = 2 so 2x = -1 or 2x = -5 -> x = - 1/2 or x = - 5/2

[@bertthebird2341]

How do you distinguish a one from an absolute value dash over there?

[@russelllomando8460]

woo hoo got both -1/2 & -5/2 the -1/2 was easy I know there are 2 answers, (absolute value), & had to think about -5/2. thanks for the fun

[@tomtke7351]

I L I K E this problem😀 Would like inequality problems T👀

[@chrisdissanayake6979]

Absolute value of 2X +3 can be +(2X+3) and also -(2X+3). 8[-(2X+3)]= 16 -16X -24 = 16 -16X = 16+24 = 40 -X= 40/16= 5/2 X= -5/2 ALSO 8[+(2X+3)]= 16 16X + 24 =16 16X = -24+16= -8 X= -8/16= -1/2 X= -5/2 X=-1/2

[@rajeshvyas934]

-.5

[@vinodtohani9577]

-0.5

[@vanessawelles4760]

Why bother using magnitude in this equation IF you are going to ignore it ?

[@gavindeane3670]

Why do you think he's ignoring it?

[@argonwheatbelly637]

{-2½, -½} in about 30 seconds in my head. Took way too long. Lo siento. 😔

[@CC_Fan2024]

16x + 24 = 16 >>>16x = -8 >>> x = -1/2 and / / value = 1/2