1. **State the problem:** Solve the equation $$\frac{x}{4} - 2 = 5$$ for $x$. 2. **Add 2 to both sides** to isolate the term with $x$: $$\frac{x}{4} - 2 + 2 = 5 + 2$$ $$\frac{x}{4} = 7$$ 3. **Multiply both sides by 4** to solve for $x$: $$4 \times \frac{x}{4} = 7 \times 4$$ $$\cancel{4} \times \frac{x}{\cancel{4}} = 28$$ $$x = 28$$ 4. **Final answer:** $$x = 28$$ This means the value of $x$ that satisfies the equation is 28.