To solve the equation \( 12x + 5 = 10x - 11 \), follow these steps:
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Subtract \( 10x \) from both sides: \[ 12x - 10x + 5 = -11 \] which simplifies to: \[ 2x + 5 = -11 \]
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Next, subtract 5 from both sides: \[ 2x = -11 - 5 \] simplifying to: \[ 2x = -16 \]
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Finally, divide both sides by 2: \[ x = \frac{-16}{2} \] which gives: \[ x = -8 \]
Thus, the solution is \( x = -8 \).
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