To solve the equation \(\frac{2}{3}x = 5\), you can follow these steps: 1. Multiply both sides of the equation by the reciprocal of \(\frac{2}{3}\), which is \(\frac{3}{2}\): \[ x = 5 \cdot \frac{3}{2} \] 2. Calculate the right side: \[ x = \frac{15}{2} \] So, the solution is: \[ x = 7.5 \] or \[ x = \frac{15}{2} \] (in fraction form).