Question

What is the solution to the equation 1/4x- 1/8=7/8+1/2x

Answer 1

4

Explanation:

Start by multiplying both sides by 4.

`(1)/(4) x-(1)/(8) =(7)/(8) +(1)/(2) x\\x-(1)/(2) =(7)/(2)+2x`

Next, combine like terms.

`x-(1)/(2) =(7)/(2)+2x\\-(1)/(2) =(7)/(2) +x\\x=(8)/(2) \\x=4`