To solve for \( x \) in the equation \( 4x - 3 = 3x - 9 \), follow these steps:
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First, isolate the variable \( x \) by eliminating the term involving \( x \) on one side. Subtract \( 3x \) from both sides:
\[ 4x - 3x - 3 = -9 \]
This simplifies to:
\[ x - 3 = -9 \]
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Next, add \( 3 \) to both sides to solve for \( x \):
\[ x = -9 + 3 \]
Simplifying this gives:
\[ x = -6 \]
Thus, the solution for \( x \) is \( \boxed{-6} \).
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