To solve the equation \(-12x + 20 = -10x + 32\), follow these steps:
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Add \(12x\) to both sides to eliminate \(-12x\) from the left side:
\[ 20 = 2x + 32 \]
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Subtract \(32\) from both sides to isolate the term with \(x\):
\[ 20 - 32 = 2x \]
This simplifies to:
\[ -12 = 2x \]
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Divide both sides by \(2\) to solve for \(x\):
\[ x = \frac{-12}{2} = -6 \]
Thus, the solution is:
\[ \boxed{-6} \]
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