To solve for \( x \) in the equation \(-3x + 15 = 42\), follow these steps:
- Subtract 15 from both sides:
\[ -3x + 15 - 15 = 42 - 15 \] \[ -3x = 27 \]
- Divide both sides by -3:
\[ x = \frac{27}{-3} \] \[ x = -9 \]
So, the solution for \( x \) is:
\[ x = -9 \]