Question

Solve for x: two thirds(x − 2) = 4x.

Answer 1

`x = - 0.4`

Explanation:

`(2)/(3) (x - 2) = 4x`

Expand with the distributive rule:

`(2)/(3) x - (2)/(3) * 2 = 4x`

`(2)/(3) x - (4)/(3) = 4x`

Add 4/3 to both sides:

`(2)/(3) x = 4x + (4)/(3)`

Subtract 4x from both sides

`- (10)/(3) x = (4)/(3)`

`- 10x = 4`

`x = - 0.4`