To solve the equation \(3(x + 5) = -6\), we begin by distributing the 3:
\[ 3x + 15 = -6 \]
Next, we will isolate \(3x\) by subtracting 15 from both sides:
\[ 3x = -6 - 15 \]
This simplifies to:
\[ 3x = -21 \]
Now, we divide both sides by 3 to solve for \(x\):
\[ x = \frac{-21}{3} \]
Calculating this gives:
\[ x = -7 \]
Thus, the solution is:
\[ \boxed{-7} \]