How do you solve 4x + 2( 8- 3x ) = 12x?

2 Answers
May 16, 2018

x = 8/7

Explanation:

Ok first you need to get the x's on to one side and the numbers on their own on the over, so first expanding the bracket you get

4x + 16 - 6x =12x

Once we collect like terms we end up with

-2x +16 = 12x

Now what we do to one side, we do to the other, so if we add 2x to get rid of the -2x, we have to also add 2x to the 12 so we end up with

16=14x

And supposedly you want just x, so we have to divide both sides by 14, which is

x = 16/14 = 8/7 ~~ 1.4286

May 16, 2018

Simplify the expression, rearrange terms, and then solve to find x=8/7

Explanation:

First, we'll simplify. We could multiply both the terms that are in the parentheses by the coefficient (2), but note that the other terms outside of the parentheses are divisible by 2. For this, I elected to divide both sides by 2, which eliminates the need for the parentheses:

(4x+2(8-3x))/2=(12x)/2

2x+(8-3x)=6x

2x+8-3x=6x

Next, we'll combine like terms:

8+x(2-3)=6x

8-x=6x

Next, we rearrange by adding x to both sides:

8cancel(-x)color(red)(cancel(+x))=6xcolor(red)(+x)

8=x(6+color(red)(1))

8=7x

Finally, we divide through by x's coefficient:

8/color(red)(7)=(cancel(7)x)/color(red)(cancel(7))

color(green)(x=8/7~=1.1429