Question

1/2-5/8x = 7/8x+7/2

Answer 1

`(1)/(2)` -
`(5)/(8) x` =
`(7)/(8) x` +
`(7)/(2)` equals x = -2.

First, simplify
`(5)/(8) x` to
`(5x)/(8)`, and the same for
`(7)/(8) x` to
`(7x)/(8)`. Your problem should look like:
`(1)/(2)` -
`(5x)/(8)` =
`(7x)/(8)` +
`(7)/(2)`.
Second, multiply both sides by 8. Your problem should look like: 4 - 5x = 7x + 28.
Third, subtract 4 from both sides. Your problem should look like: -5x = 7x + 28 - 4.
Fourth, simplify 7x + 28 - 4 to get 7x + 24. Your problem should look like: -5x = 7x + 24.
Fifth, subtract 7x from both sides. Your problem should look like: -5x - 7x = 24.
Sixth, simplify -5x - 7x to -12x. Your problem should look like: -12x = 24.
Seventh, divide both sides by -12. Your problem should look like: x =
`(24)/(-12)`
Eighth, simplify
`(24)/(-12)` to
`- (24)/(12)`
Lastly, simplify
`(24)/(12)` to get 2. Your problem should look like: x = -2, which is your answer.