[tex] \frac{1}{2}x-\frac{2}{3}= 4\ \ | \multiply \ each \ term \ by \ 6\\\\6\cdot \frac{1}{2}x-6\cdot \frac{2}{3}= 4\cdot 6\\\\3x-4= 24 \ \ | \ add\ 4\ to\ both\ sides \\\\3x-4+4= 24+4\\\\3x=28\ \ | \ divide \ both \ sides\ by\ 3\\\\x=\frac{28}{3}\\\\x =9\frac{1}{3} [/tex]
