Question

What is the value of x in the equation 2/3(1/2x+12)=1/2(1/3x+14)-3?

a. -24
b. -6
c. -2/3
d. 0

Answer 1

a. -24

Explanation:

Multiply by 6 ...

2/3(1/2x+12)=1/2(1/3x+14)-3

4(1/2x +12) = 3(1/3x +14) -18 . . . . . . multiply by 6

2x +48 = x +42 -18 . . . . . . . . . . . . . .eliminate parentheses

x = 24 -48 = -24 . . . . . . . . . . . . . . . . simplify and subtract (x+48)