Question

4x + 3(2 - x) = 8 - 2x
Justify each step

Answer 1

`x=(2)/(3)`

Explanation:

We are given:

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

To solve this, we first distribute the 3 among the numbers in parenthesis:

`4x+3(2-x)=8-2x\\4x+6-3x=8-2x`

next, we rearrange terms that are the same next to each other

`4x-3x+6=8-2x`

combine like terms

`x+6=8-2x`

add 2x to both sides

`3x+6=8`

subtract 6 from both sides

`3x=2`

divide both sides by 3

`x=(2)/(3)`

Hope this helps! :)