1. **State the problem:** Solve the equation $\frac{x}{4} - 6 = 10$ for $x$. 2. **Add 6 to both sides:** $$\frac{x}{4} - 6 + 6 = 10 + 6$$ $$\frac{x}{4} = 16$$ 3. **Multiply both sides by 4 to isolate $x$:** $$4 \times \frac{x}{4} = 16 \times 4$$ $$\cancel{4} \times \frac{x}{\cancel{4}} = 64$$ $$x = 64$$ 4. **Final answer:** $x = 64$