Answer
$x=\dfrac{27}{4}$
Work Step by Step
Multiplying both sides by $\frac{3}{2}$ then simplifying, we have
$$
\frac{2}{3}x=\frac{9}{2} \Longrightarrow \frac{3}{2}\times \frac{2}{3}x=\frac{3}{2}\times\frac{9}{2} \Longrightarrow x=\frac{27}{4}
$$
