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

To solve the equation \( 9 + 5(4x - 3) = 7x - 6 \), we'll first distribute the 5 on the left side:

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

This simplifies to:

\[ 9 + 20x - 15 = 7x - 6 \]

Now combine the constants on the left side:

\[ 20x - 6 = 7x - 6 \]

Next, we want to get all the terms involving \( x \) on one side. Subtract \( 7x \) from both sides:

\[ 20x - 7x - 6 = -6 \]

This simplifies to:

\[ 13x - 6 = -6 \]

Now, add 6 to both sides:

\[ 13x = 0 \]

Finally, divide by 13:

\[ x = 0 \]

So, the solution to the equation is \( \boxed{0} \).