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To solve the equation \( 12x + 5 = 10x - 11 \), follow these steps:
1. **Subtract \( 10x \) from both sides**:
\[
12x - 10x + 5 = 10x - 10x - 11
\]
This simplifies to:
\[
2x + 5 = -11
\]
2. **Subtract 5 from both sides**:
\[
2x + 5 - 5 = -11 - 5
\]
This simplifies to:
\[
2x = -16
\]
3. **Divide both sides by 2**:
\[
\frac{2x}{2} = \frac{-16}{2}
\]
This simplifies to:
\[
x = -8
\]
Thus, the solution is:
\[
\boxed{-8}
\]