1. **State the problem:** Solve for $x$ in the equation $\frac{2x - 3y}{4} = w.$ 2. **Isolate the term with $x$:** Multiply both sides by 4 to eliminate the denominator: $$2x - 3y = 4w.$$ 3. **Solve for $x$:** Add $3y$ to both sides: $$2x = 4w + 3y.$$ 4. **Divide both sides by 2 to isolate $x$:** $$x = \frac{4w + 3y}{2}.$$ 5. **Interpretation:** The solution expresses $x$ in terms of $w$ and $y$ as $$x = \frac{4w + 3y}{2}.$$