To solve the equation \(4x - 3 = 3x - 9\), we can follow these steps:
- Subtract \(3x\) from both sides:
\[ 4x - 3x - 3 = -9 \]
This simplifies to:
\[ x - 3 = -9 \]
- Next, add \(3\) to both sides:
\[ x - 3 + 3 = -9 + 3 \]
This simplifies to:
\[ x = -6 \]
So the solution is \(x = -6\).
Thus, the correct response is:
x equals negative 6.