Question

Solve the equation for x.
1/3 (6x - 15) = 1/2 (10x-4)

Answer 1

x = - 1

Explanation:

`(1)/(3) (6x - 15) = (1)/(2) (10x - 4)`

Expand the terms in the bracket

That's

`(1 )/(3) * 6x + (1)/(3) ( - 15) = (1)/(2) (10x) + (1)/(2) ( - 4) \\ 2x - 5 = 5x - 2`

Subtract 5x from both sides

`2x - 5x - 5 = 5x - 5x - 2 \\ - 3x - 5 = - 2`

Add 5 to both sides

`- 3x - 5 + 5 = - 2 + 5 \\ - 3x = 3`

Divide both sides by - 3

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

We have the final answer as

x = - 1

Hope this helps you