To solve the equation \(7x - 3 - 4x = 9\), we first combine like terms on the left-hand side:
\[ 7x - 4x - 3 = 9 \]
This simplifies to:
\[ 3x - 3 = 9 \]
Next, we add 3 to both sides of the equation:
\[ 3x = 9 + 3 \] \[ 3x = 12 \]
Now, we divide both sides by 3:
\[ x = \frac{12}{3} \] \[ x = 4 \]
Therefore, the solution to the equation is:
\[ \boxed{4} \]