To solve the equation \(5x + 6 = 2x - 21\), follow these steps:
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Isolate the variable \(x\): Start by getting all the \(x\) terms on one side of the equation and the constant terms on the other side.
\[ 5x - 2x = -21 - 6 \]
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Combine like terms:
\[ 3x = -27 \]
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Divide both sides by 3:
\[ x = -9 \]
So, the solution is \(x = -9\).
The correct response is -9.