What is the solution to the equation One-fourth x minus one-eighth = StartFraction 7 Over 8 EndFraction + one-half x?

The solution to the equation is

x = - 4

Step-by-step explanation:

We want to find the solution to the equation

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

First, add - (1/2) x + 1/8 to both sides of the equation.

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

[1/4 - 1/2]x = 7/8 + 1/8

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

- (1/4) x = 8/8

- (1/4) x = 1

Multiply both sides by - 4

x = - 4