1. **State the problem:** Solve the inequality $5d - 3 > d + 17$ for $d$. 2. **Write down the inequality:** $$5d - 3 > d + 17$$ 3. **Isolate the variable terms on one side:** Subtract $d$ from both sides: $$5d - 3 - \cancel{d} > \cancel{d} + 17 - d$$ $$4d - 3 > 17$$ 4. **Isolate the constant term on the other side:** Add 3 to both sides: $$4d - 3 + 3 > 17 + 3$$ $$4d > 20$$ 5. **Solve for $d$ by dividing both sides by 4:** $$\frac{4d}{\cancel{4}} > \frac{20}{\cancel{4}}$$ $$d > 5$$ 6. **Interpretation:** The solution to the inequality is all values of $d$ greater than 5. **Final answer:** $$d > 5$$