To solve the equation \( 3x - 3 = 6x + 18 \), follow these steps:
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Subtract \( 3x \) from both sides:
\[ -3 = 6x - 3x + 18 \]
This simplifies to:
\[ -3 = 3x + 18 \]
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Next, subtract 18 from both sides:
\[ -3 - 18 = 3x \]
This simplifies to:
\[ -21 = 3x \]
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Finally, divide both sides by 3:
\[ x = \frac{-21}{3} \]
This simplifies to:
\[ x = -7 \]
The solution is \( x = -7 \).