Question

If one half of a number is 8 less than two thirds of the number, what is the number?
1) 24
2)32
3)48
4)54

Answer 1

$\frac{1}{2}x=\frac{2}{3}x-8 \\ \\ \frac{1}{2}x-\frac{2}{3}x=-8 \\ \\ \frac{3}{6}x-\frac{4}{6}x=-8 \\ \\ -\frac{1}{6}x=-8 \\ \\ x=48$