PAGE 11

6) Solve the equation for x. 3/4 + 1/2x = x - 1/4

A x = 1/2

B x = 5

C x = 1

D x = 2

D x = 2

Step-by-step explanation:

3/4 + 1/2x = x - 1/4

Multiply each side by 4 to get rid of the fractions

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

3 + 2x = 4x - 1

Subtract 2x from each side

3+2x-2x = 4x-2x - 1

3 = 2x-1

Add 1 to each side

3+1 = 2x-1+1

4 = 2x

Divide each side by 2

4/2 = 2x/2

2 = x

Solve the equation by combining expressions and isolating the variable x.

x=1/2