Question

I do not understand how to do this problem. I am very confused and need help.
x-3/2x+4=-1/2

Answer 1

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

First, simplify
`(3)/(2) x` to
`(3x)/(2)` / Your problem should look like: x -
`(3x)/(2)` + 4 = -
`(1)/(2)`
Second, simplify x -
`(3x)/(2)` + 4 to
`- (x)/(2)` + 4 / Your problem should look like:
`-(x)/(2)` + 4 =
`-(1)/(2)`
Third, regroup terms. / Your problem should look like: 4 -
`(x)/(2)` = -
`(1)/(2)`
Fourth, multiply both sides by 2. / Your problem should look like: 8 - x = -1
Fifth, subtract 8 from both sides. / Your problem should look like: -x = -1 - 8
Sixth, simplify -1 - 8 to -9. / Your problem should look like: -x = -9
Seventh, multiply both sides by -1. / Your problem should look like: x = 9

Answer: x = 9