To solve the equation \( 11 - 4x = -9 \), follow these steps:
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Isolate the variable term: Start by subtracting 11 from both sides:
\[ 11 - 4x - 11 = -9 - 11 \]
This simplifies to:
\[ -4x = -20 \]
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Divide by -4: To solve for \( x \), divide both sides by -4:
\[ x = \frac{-20}{-4} = 5 \]
Thus, the solution of the equation \( 11 - 4x = -9 \) is:
\[ \boxed{5} \]