Solve for x

To solve the equation \(-3x - 14 = 22\), follow these steps:

1. Add 14 to both sides of the equation:

\[
-3x - 14 + 14 = 22 + 14
\]
This simplifies to:
\[
-3x = 36
\]

2. Next, divide both sides by -3:

\[
x = \frac{36}{-3}
\]
This simplifies to:
\[
x = -12
\]

Therefore, the solution is:

\[
\boxed{-12}
\]