1. **State the problem:** Solve the equation $24 + x = 48$ for $x$. 2. **Formula and rules:** To isolate $x$, subtract 24 from both sides of the equation. 3. **Intermediate work:** $$24 + x = 48$$ Subtract 24 from both sides: $$\cancel{24} + x = 48 - \cancel{24}$$ Simplifies to: $$x = 24$$ 4. **Explanation:** We moved 24 to the right side by subtracting it from both sides, leaving $x$ alone on the left. 5. **Final answer:** $$x = 24$$