1. **State the problem:** We need to express $x$ in terms of $y$ from the equation $$3x - 2y + 3 = 0.$$\n\n2. **Isolate the term with $x$:** Move the terms involving $y$ and constants to the other side of the equation:\n$$3x = 2y - 3.$$\n\n3. **Solve for $x$:** Divide both sides by 3 to isolate $x$:\n$$x = \frac{2y - 3}{3}.$$\n\n4. **Final expression:** Thus, $x$ expressed in terms of $y$ is $$x = \frac{2y - 3}{3}.$$