Question: User: $x+5=7$
1. **State the problem:** Solve the equation $x+5=7$ for $x$.
2. **Formula and rules:** To isolate $x$, subtract $5$ from both sides of the equation.
3. **Intermediate work:**
$$x+5=7$$
Subtract $5$ from both sides:
$$x+5-\cancel{5}=7-\cancel{5}$$
Simplifies to:
$$x=2$$
4. **Explanation:** We performed the same operation (subtracting $5$) on both sides to keep the equation balanced. This isolates $x$ on one side, giving the solution.
5. **Final answer:** $x=2$