\frac{2}{3}x=24

Answer 1

To solve the equation, we can multiply both sides by the reciprocal of $\frac{2}{3}$, which is $\frac{3}{2}$. \begin{align*}
\frac{3}{2}\cdot\left(\frac{2}{3}x\right)&=\frac{3}{2}\cdot24\\
1x&=\frac{3}{2}\cdot24\\
x&=\frac{3}{2}\cdot24\\
x&=12\cdot 3\\
x&=\boxed{36}.
\end{align*}