To solve the equation \( \frac{8}{5} x = -10 \), you can follow these steps:
- Multiply both sides by the reciprocal of \( \frac{8}{5} \), which is \( \frac{5}{8} \):
\[ x = -10 \cdot \frac{5}{8} \]
- Calculate the right-hand side:
\[ x = -\frac{50}{8} \]
- Simplify the fraction:
\[ x = -\frac{25}{4} \]
Thus, the solution to the equation is
\[ x = -\frac{25}{4} \quad \text{or} \quad -6.25. \]