Question

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

Answer 1

x = 2

Explanation:

`(5(x - 2) )/(3)` = -x + 2 Multiple both sides by 3

`((3)/(1))`
`(5(x-2))/(3)` = (3)(-x + 2)

5(x -2) = -3x + 6 Distribute the 5

5x - 10 = -3x + 6 Add 3x to both sides

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

8x -10 = 6 Add 10 to both sides

8x - 10 + 10 = 6 + 10

8x = 16 Divide both side by 8

`(8x)/(8)` =
`(16)/(8)`

x = 2