Answer :
[tex]2x-10=\frac{1}{3}(x-9)\\
6x-30=x-9\\
5x=21\\
x=\frac{21}{5}[/tex]
[tex]2x-10=\frac{1}{3}(x-9)\\\\
2x-10=\frac{1}{3}x-3\ \ \ | Add\ 10\\\\
2x=\frac{1}{3}x+7\ \ \ | subtract \ \frac{1}{3}x\\\\
1\frac{2}{3}x=7\\\\
\frac{5}{3}x=7\ \ \ \ | divide\ by\ \frac{5}{3}\\\\
x=7*\frac{3}{5}\\\\
\boxed{x=4,2}[/tex]