Answer:
x = 18
Step-by-step explanation:
Given
[tex]\frac{1}{2}[/tex] x - 7 = [tex]\frac{1}{3}[/tex](x - 12)
Multiply both sides by 6 ( the LCM of 2 and 3 ) to clear the fractions
3x - 42 = 2(x - 12) ← distribute
3x - 42 = 2x - 24 ( subtract 2x from both sides )
x - 42 = - 24 ( add 42 to both sides )
x = 18