To solve the equation \(4x - 3 = 3x - 9\), we need to isolate \(x\).
-
Subtract \(3x\) from both sides: \[ 4x - 3x - 3 = -9 \] This simplifies to: \[ x - 3 = -9 \]
-
Next, add \(3\) to both sides: \[ x = -9 + 3 \] This simplifies to: \[ x = -6 \]
So, the solution is: \[ \boxed{-6} \]
Among the response options, the correct answer is \(x = -6\) or \(x\) equals negative 6.