Answer
$ x=7.5$
Work Step by Step
The given expression $\frac{x}{x-3}=\frac{2x}{x-3}-\frac{5}{3}$
$\begin{align}
& \frac{x}{x-3}=\frac{2x}{x-3}-\frac{5}{3} \\
& \frac{x}{x-3}=\frac{6x-5x+15}{3(x-3)} \\
& 3x=6x-5x+15 \\
& 3x=x+15
\end{align}$
$\begin{align}
& 2x=15 \\
& x=7.5
\end{align}$
