Question

What is the solution to this equation?
1/2x-7=1/3(x-12)
x=

Answer 1

`x=18`

Explanation:

By rearranging and multiplying by 6 at the end:

`(1)/(2)x - 7 = (1)/(3)(x-12)\\(1)/(2)-7 = (1)/(3)x - 4\\(1)/(2)x - (1)/(3)x = -4 + 7\\((3)/(6) - (2)/(6))x = 3\\(1)/(6)x = 3\\x = 3 \cdot 6 = 18`