Question

Solve the equation 2/3x - 5 = 1/2x - 3

Answer 1

2/3x=4/6x
1/2x=3/6x
4/6x-5=3/6x-3
add 5 to both sides
4/6x=3/6x+2
subtract 3/6x from both sides
1/6x=2
multiply both sides by 6
x=12

Answer 2

$\frac{2}{3}x-5=\frac{1}{2}x-3\ \ \ \ \ | subtract\ \frac{1}{2}x\\\\ \frac{2}{3}x-\frac{1}{2}x-5=-3\ \ \ \ \ | multiply\ by\ 6\\\\ 4x-3x-30=-18\ \ \ \ | add\ 30\\\\ x=12$