To solve the equation \( \frac{5}{3}x = 25 \), we can isolate \( x \) by multiplying both sides by the reciprocal of \( \frac{5}{3} \), which is \( \frac{3}{5} \).
Here are the steps:
- Multiply both sides by \( \frac{3}{5} \):
\[ x = 25 \times \frac{3}{5} \]
- Calculate \( 25 \times \frac{3}{5} \):
\[ x = 25 \times 0.6 = 15 \]
Thus, the solution is:
\[ x = 15 \]
The correct response is 15.