Question

Use the equation 1/2 (x - 4) = 1/3x + 2

How can you eliminate the fraction from each side of the equation to make finding the solution easier?

Answer 1

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

6x1/2(x-4)=6x1/3x+2x6

3(x-4)=2x+12

3x-12=2x+12

3x-2x=12+12

x=24

Answer 2

Explanation:

Multiply the whole equation by 6 (LCM of 2 and 3)

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

6* 1/2 (x - 4) = 6* (1/3x + 2)

3 (x - 4) = 6* 1/3x + 6*2

3x - 12 = 2x + 12

3x -2x = 12 + 12

x = 24