The solution to the equation $ax - 1 = 2ax - 4$ is $x = \frac{3}{a}$.

Would you like more details on how this solution was derived? Here are some related questions:

1. What happens when $a = 0$?
2. How would the solution change if there was a constant added to both sides?
3. What are the implications of $a$ being positive or negative for $x$?
4. How do you solve similar equations when the variables appear on both sides?
5. Can this equation be represented graphically?

Tip: When solving linear equations, it's often helpful to first move all terms involving the variable to one side of the equation.