To solve the equation \( 2x + 12 - 3x = 27 \), we will follow these steps:
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Combine like terms on the left side: We have \( 2x \) and \( -3x \) on the left side.
\[ 2x - 3x + 12 = 27 \]
This simplifies to:
\[ -x + 12 = 27 \]
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Isolate the term with \( x \): We want to move the constant term (12) to the right side of the equation by subtracting 12 from both sides.
\[ -x + 12 - 12 = 27 - 12 \]
Simplifying this gives:
\[ -x = 15 \]
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Solve for \( x \): To solve for \( x \), multiply both sides of the equation by -1.
\[ x = -15 \]
Thus, the solution to the equation \( 2x + 12 - 3x = 27 \) is
\[ \boxed{-15} \]
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