1. **State the problem:** Solve the equation $12 - 2m = 2m - 3$ for $m$. 2. **Add $2m$ to both sides:** $$12 - 2m + 2m = 2m - 3 + 2m$$ This simplifies to: $$12 = 4m - 3$$ 3. **Add 3 to both sides to isolate the term with $m$:** $$12 + 3 = 4m - 3 + 3$$ $$15 = 4m$$ 4. **Divide both sides by 4 to solve for $m$:** $$\frac{15}{\cancel{4}} = \frac{4m}{\cancel{4}}$$ $$m = \frac{15}{4}$$ 5. **Final answer:** $$m = \frac{15}{4}$$