1. **Problem:** Solve for $x$ in the equation $x + 5 = 25$. 2. **Formula and Rule:** Use the Addition Property of Equality which states if you add or subtract the same number from both sides of an equation, the equality holds. 3. **Step-by-step solution:** 1. Start with the equation: $x + 5 = 25$ 2. Subtract 5 from both sides to isolate $x$: $x + 5 - 5 = 25 - 5$ 3. Simplify both sides: $x = 20$ 4. **Explanation:** We removed 5 from the left side to get $x$ alone. Whatever operation we do to one side, we must do to the other to keep the equation balanced. 5. **Final answer:** $x = 20$