Question

Solve for x.
5(x - 2) = -x + 2
/3
x = [?]

Answer 1

x = 2

Explanation:

`(5(x-2))/(3) = -x + 2`

expand left side:

`(5(x-2))/(3) = -x + 2\\\\(5x-10)/(3) = -x + 2`

multiply both sides by 3:

`3((5x-10)/(3)) = 3(-x + 2)\\\\ =5x - 10 = -3x + 6`

Add 3x to both sides:

5x - 10 + 3x = -3x + 6 + 3x

8x - 10 = 6

add 10 to both sides:

8x - 10 + 10 = 6 + 10

8x = 16

divide both sides by 8:

8x/8 = 16/8

x = 2