1. **State the problem:** Solve the equation $2m + 5 = 10$ for $m$. 2. **Formula and rules:** To solve for $m$, isolate the variable by performing inverse operations. Subtract 5 from both sides to undo the addition. 3. **Intermediate work:** $$2m + 5 = 10$$ Subtract 5 from both sides: $$2m = 10 - 5$$ $$2m = 5$$ 4. **Divide both sides by 2 to isolate $m$:** $$m = \frac{5}{2}$$ 5. **Final answer:** $$m = 2.5$$ This means the value of $m$ that satisfies the equation is 2.5.