Question

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

Answer 1

solve the equation by combining expressions and isolating the variable x.
x=1/2

Answer 2

D x= 2

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