To solve the equation \( 12x + 5 = 10x - 11 \), follow these steps:
- Start by isolating the variable \( x \) on one side of the equation. First, subtract \( 10x \) from both sides:
\[ 12x - 10x + 5 = -11 \]
This simplifies to:
\[ 2x + 5 = -11 \]
- Next, subtract \( 5 \) from both sides to get:
\[ 2x = -11 - 5 \]
Simplifying the right side gives:
\[ 2x = -16 \]
- Finally, divide both sides by \( 2 \):
\[ x = \frac{-16}{2} \]
This simplifies to:
\[ x = -8 \]
Thus, the solution is:
\[ \boxed{-8} \]
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