1. **State the problem:** Solve the equation $$\frac{x}{3} - 5 = 1$$ for $x$. 2. **Add 5 to both sides** to isolate the fraction term: $$\frac{x}{3} - 5 + 5 = 1 + 5$$ $$\frac{x}{3} = 6$$ 3. **Multiply both sides by 3** to solve for $x$: $$3 \times \frac{x}{3} = 6 \times 3$$ Show the cancellation: $$\cancel{3} \times \frac{x}{\cancel{3}} = 18$$ $$x = 18$$ 4. **Final answer:** $$x = 18$$ This means the value of $x$ that satisfies the equation is 18.