solve for x: 4x - 3 = 3x - 9

To solve for x, we need to isolate the variable on one side of the equation.

4x - 3 = 3x - 9

First, let's subtract 3x from both sides:

4x - 3 - 3x = 3x - 9 - 3x

After simplifying, this becomes:

x - 3 = -9

Next, we add 3 to both sides:

x - 3 + 3 = -9 + 3

After simplifying, this becomes:

x = -6

So the solution is x = -6.