To solve the equation \(-\frac{2}{x} = \frac{3}{5}\), you can start by cross-multiplying:
\[ -2 \cdot 5 = 3 \cdot x \]
This simplifies to:
\[ -10 = 3x \]
Next, divide both sides by 3 to isolate \(x\):
\[ x = \frac{-10}{3} \]
Thus, the solution is:
\[ x = -\frac{10}{3} \]