Let's solve the equation step by step.
Given:
\[ -2(3x - 15) = 60 \]
First, distribute the -2 on the left side:
\[ -2 \cdot 3x + -2 \cdot (-15) = 60 \]
This simplifies to:
\[ -6x + 30 = 60 \]
Next, we want to isolate \(x\). Start by subtracting 30 from both sides:
\[ -6x = 60 - 30 \]
Simplifying the right side gives:
\[ -6x = 30 \]
Now, divide both sides by -6:
\[ x = \frac{30}{-6} \]
Simplifying that gives:
\[ x = -5 \]
Thus, the solution to the equation is:
\[ \boxed{-5} \]