9 + 5(4x - 3) = 7x - 6

To solve the equation \( 9 + 5(4x - 3) = 7x - 6 \), follow these steps:

1. Distribute the \( 5 \) on the left side: \[ 5(4x) - 5(3) = 20x - 15 \] So, the equation becomes: \[ 9 + 20x - 15 = 7x - 6 \]

2. Simplify the left side: \[ 20x + 9 - 15 = 20x - 6 \] Therefore: \[ 20x - 6 = 7x - 6 \]

3. Next, isolate \( x \) by first subtracting \( 7x \) from both sides: \[ 20x - 7x - 6 = -6 \] This simplifies to: \[ 13x - 6 = -6 \]

4. Then, add \( 6 \) to both sides: \[ 13x - 6 + 6 = -6 + 6 \] Thus: \[ 13x = 0 \]

5. Finally, divide both sides by \( 13 \) to solve for \( x \): \[ x = 0 \]

The solution to the equation is \( x = 0 \).