To solve the equation \( 12x + 5 = 10x - 11 \), follow these steps:
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First, isolate the variable \( x \). Start by subtracting \( 10x \) from both sides:
\[ 12x - 10x + 5 = -11 \]
This simplifies to:
\[ 2x + 5 = -11 \]
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Next, subtract 5 from both sides:
\[ 2x = -11 - 5 \]
This simplifies to:
\[ 2x = -16 \]
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Finally, divide both sides by 2:
\[ x = \frac{-16}{2} \]
Thus,
\[ x = -8 \]
So the solution is \( x = -8 \).