To solve the equation \( 3x - 3 = 6x + 18 \), we can follow these steps:
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Start with the equation: \[ 3x - 3 = 6x + 18 \]
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Subtract \( 3x \) from both sides: \[ -3 = 3x + 18 \]
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Next, subtract \( 18 \) from both sides: \[ -3 - 18 = 3x \] \[ -21 = 3x \]
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Now, divide both sides by \( 3 \): \[ x = -7 \]
Thus, the solution for \( x \) is: \[ \boxed{-7} \]
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