To solve the equation \(-2(3x - 15) = 60\), follow these steps:
-
Distribute the \(-2\) on the left side of the equation: \[ -2 \cdot 3x + -2 \cdot -15 = 60 \] This simplifies to: \[ -6x + 30 = 60 \]
-
Subtract \(30\) from both sides: \[ -6x + 30 - 30 = 60 - 30 \] This simplifies to: \[ -6x = 30 \]
-
Divide both sides by \(-6\): \[ x = \frac{30}{-6} \] This simplifies to: \[ x = -5 \]
Thus, the solution is: \[ \boxed{-5} \]