To solve the equation $ax - 3b = 2x$ for $x$, follow these steps:

1. Move all terms involving $x$ to one side of the equation: $ax - 2x = 3b$
2. Factor out $x$ from the left-hand side: $x(a - 2) = 3b$
3. Solve for $x$: $x = \frac{3b}{a - 2}$

So, the solution is: $x = \frac{3b}{a - 2}$

Would you like more details or have any questions?

Here are some related questions to expand on this:

1. What happens if $a = 2$ in this equation?
2. How does factoring work when solving linear equations?
3. How do you isolate a variable in an equation?
4. What are the implications of the denominator in the solution?
5. Can this equation have no solution?

Tip: Always check for any values that make the denominator zero to avoid undefined expressions.