Let's solve the equation step by step.
Given the equation: \[ -\frac{3}{5}(15x - 30) = 198 \]
Step 1: Eliminate the fraction by multiplying both sides of the equation by \(-\frac{5}{3}\):
\[ -\frac{3}{5}(15x - 30) \times -\frac{5}{3} = 198 \times -\frac{5}{3} \]
This simplifies to:
\[ 15x - 30 = -330 \]
Step 2: Add 30 to both sides to isolate the term with \(x\):
\[ 15x - 30 + 30 = -330 + 30 \]
This simplifies to:
\[ 15x = -300 \]
Step 3: Divide both sides by 15 to solve for \(x\):
\[ x = \frac{-300}{15} \]
This simplifies to:
\[ x = -20 \]
Thus, the solution to the equation \(-\frac{3}{5}(15x - 30) = 198\) is:
\[ \boxed{-20} \]