Answer
\[3x\left( {2x + 1} \right)\]
Work Step by Step
\[\begin{gathered}
\frac{5}{{3x\left( {2x + 1} \right)}} = \frac{A}{{3x}} + \frac{B}{{2x + 1}} \hfill \\
{\text{We should multiply by }}3x\left( {2x + 1} \right){\text{ to clear the denominators}}{\text{.}} \hfill \\
\end{gathered} \]