Answer
$\left\{\dfrac{27}{4}\right\}$
Work Step by Step
Multiply both sides by $\frac{3}{2}$.
$\dfrac{3}{2} \cdot \dfrac{2}{3}x=\dfrac{3}{2} \cdot \dfrac{9}{2}$
Simplify.
$x=\frac{27}{4}$
Hence, the solution to the equation is $\left\{\dfrac{27}{4}\right\}$.