To solve the equation \( \frac{5}{3}x = 25 \), follow these steps:
- Multiply both sides by the reciprocal of \( \frac{5}{3} \), which is \( \frac{3}{5} \):
\[ x = 25 \times \frac{3}{5} \]
- Simplify the right side:
\[ x = 25 \times 0.6 = 15 \]
So, the solution is:
\[ x = 15 \]
Among your options, the correct answer is 15.