Answer
The simplified form is $\frac{2x}{\left( 3-x \right)}$.
Work Step by Step
Consider the given expression $\frac{2}{\frac{3}{x}-1}$.
Simplify the expression as below:
$\begin{align}
& \frac{2}{\frac{3}{x}-1}=\frac{2}{\left( \frac{3-x}{x} \right)} \\
& =2\div \left( \frac{3-x}{x} \right) \\
& =2\times \frac{x}{3-x} \\
& =\frac{2x}{\left( 3-x \right)}
\end{align}$
Thus, the simplified form is $\frac{2x}{\left( 3-x \right)}$.
