1. **State the problem:** Solve the equation $x + 8 = -4$ for $x$. 2. **Formula and rules:** To isolate $x$, subtract 8 from both sides of the equation. This uses the property of equality: if $a = b$, then $a - c = b - c$. 3. **Intermediate work:** $$x + 8 = -4$$ Subtract 8 from both sides: $$x + 8 - 8 = -4 - 8$$ Simplify: $$x = -12$$ 4. **Explanation:** We moved the constant term 8 to the right side by subtracting it from both sides, leaving $x$ alone on the left. The result is $x = -12$. **Final answer:** $x = -12$