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