To solve the equation \( 9x - 3(2x + 1) = 2x + 4 \), we can follow these steps:
Distribute the \(-3\) to \(2x + 1\): \[ 9x - 6x - 3 = 2x + 4 \]
Combine like terms on the left side: \[ (9x - 6x) - 3 = 2x + 4 \] This simplifies to: \[ 3x - 3 = 2x + 4 \]
Now, isolate \(x\) by first moving \(2x\) to the left side: \[ 3x - 2x - 3 = 4 \] This simplifies to: \[ x - 3 = 4 \]
Next, add \(3\) to both sides: \[ x = 4 + 3 \] Thus, we have: \[ x = 7 \]
The solution to the equation is \( \boxed{7} \).