1. **State the problem:** Solve the equation $$24 = -x + 160$$ for $$x$$. 2. **Use the additive property of equality:** To isolate $$x$$, add $$x$$ to both sides and subtract 24 from both sides. 3. Add $$x$$ to both sides: $$24 + x = -x + x + 160$$ which simplifies to $$24 + x = 160$$ 4. Subtract 24 from both sides: $$24 + x - 24 = 160 - 24$$ which simplifies to $$x = 136$$ 5. **Final answer:** $$x = 136$$