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: \[ 9 + 5 \cdot 4x - 5 \cdot 3 = 7x - 6 \] \[ 9 + 20x - 15 = 7x - 6 \]

2. Combine like terms on the left side: \[ (9 - 15) + 20x = 7x - 6 \] \[ -6 + 20x = 7x - 6 \]

3. Now, add \(6\) to both sides: \[ -6 + 6 + 20x = 7x - 6 + 6 \] \[ 20x = 7x \]

4. Subtract \(7x\) from both sides: \[ 20x - 7x = 0 \] \[ 13x = 0 \]

5. Divide both sides by \(13\): \[ x = 0 \]

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