1. **State the problem:** Solve the inequality $x + 5 > 7$. 2. **Formula and rules:** To solve inequalities, we isolate the variable on one side. Adding or subtracting the same number from both sides keeps the inequality direction the same. 3. **Isolate $x$:** Subtract 5 from both sides: $$x + 5 - 5 > 7 - 5$$ $$x > 2$$ 4. **Interpretation:** The solution is all values of $x$ greater than 2. 5. **Final answer:** $$x > 2$$