1. **State the problem:** Solve the equation $$\frac{x+4}{3} = -6$$ for $x$. 2. **Formula and rules:** To solve for $x$, multiply both sides of the equation by 3 to cancel the denominator. 3. **Multiply both sides by 3:** $$3 \times \frac{x+4}{3} = 3 \times (-6)$$ 4. **Cancel the 3 in the denominator:** $$\cancel{3} \times \frac{x+4}{\cancel{3}} = -18$$ 5. **Simplify:** $$x + 4 = -18$$ 6. **Subtract 4 from both sides to isolate $x$:** $$x + 4 - 4 = -18 - 4$$ 7. **Simplify:** $$x = -22$$ **Explanation:** The solution is $x = -22$, not 22 or -14. If you got 22, you might have added instead of subtracting 4. If you got -14, you might have made a calculation error in multiplying or adding/subtracting.