Question

Solve for x
1/2 x + 2 = x - 1/4

Answer 1

Answer:
`x=9/2`

Simplify both sides of the equation

`1/2x+2=x+-1/4`

Subtract x from both sides

`1/2x+2-x=x+-1/4-x\\-1/2x+2=-1/4`

Subtract 2 from both sides

`-1/2x+2-2=-1/4-2\\-1/2x=-9/4`

Multiply both sides by 2/(-1)

`(2/-1)*(-1/2x)=(2/-1)*(-9/4)\\x=9/2`