1. **State the problem:** Solve the equation $$\frac{x}{3} + 7 = 9$$ for $x$. 2. **Isolate the term with $x$:** Subtract 7 from both sides to get $$\frac{x}{3} = 9 - 7$$ 3. **Simplify the right side:** $$\frac{x}{3} = 2$$ 4. **Solve for $x$ by multiplying both sides by 3:** $$x = 2 \times 3$$ 5. **Calculate the product:** $$x = 6$$ **Final answer:** $x = 6$