Question

Solve for X. Show your work

1/2x - 1/4 = 3/5x + 2

Answer 1

`x = - (45)/(2)`

Explanation:

`(1)/(2) x - (1)/(4) = (3)/(5) x + 2`

`20( (1)/(2) x - (1)/(4) ) = 20( (3)/(5) x + 2)`

`20 * (1)/(2) x - 20 * (1)/(4) = 20( (3)/(5) x + 2)`

`10x - 20 * (1)/(4) = 20 * (3)/(5) x + 20 * 2`

`10x - 5 = 20 * (3)/(5) x + 20 * 2`

`10x - 5 = 4 * 3x + 20 * 2`

`10x - 5 = 4 * 3x + 40`

`10x - 5 - 12x = 40`

`10x - 12x = 40 + 5`

`- 2x = 40 - 5`

`- 2x = 45`

`x = - (45)/(2)`