What is the value of x in the equation 3/4 (1/4x+8) - (1/2x+2) = 3/8 (4-x) - 1/4x?

Answer: x = 24

Step-by-step explanation:

3/4 (x/4 + 8) - x/2 + 2 = 3/8 (4-x) - x/4

3x/16 + 6 - x = 3/2 - 3x/8 - x/4

collect like term

3x/16 - x + 3x/8 + x/4 = 3/2 - 6

3x-16x+6x + 4x / 16 = 3-12 / 2

-3x/16 = - 9/2

cross multiply

-6x = - 144

Divide bothside by - 6

-6x/-6 = - 144/6

x = 24