1. **State the problem:** Solve the inequality $3x - 8 > 16$. 2. **Use the inequality solving rule:** To isolate $x$, add or subtract terms on both sides and divide or multiply by positive numbers (if multiplying/dividing by a negative number, reverse the inequality). 3. **Add 8 to both sides:** $$3x - 8 + 8 > 16 + 8$$ $$3x > 24$$ 4. **Divide both sides by 3 (positive number, so inequality direction stays the same):** $$\frac{3x}{3} > \frac{24}{3}$$ $$x > 8$$ 5. **Final answer:** $$x > 8$$ This means any value of $x$ greater than 8 satisfies the inequality.