Question: User: 3m/5 = (5m-4)/10
1. **State the problem:** Solve the equation $$\frac{3m}{5} = \frac{5m - 4}{10}$$ for $m$.
2. **Use the cross-multiplication formula:** When two fractions are equal, their cross products are equal, so:
$$3m \times 10 = 5 \times (5m - 4)$$
3. **Multiply both sides:**
$$30m = 25m - 20$$
4. **Isolate the variable $m$ by subtracting $25m$ from both sides:**
$$30m - 25m = 25m - 25m - 20$$
$$5m = -20$$
5. **Divide both sides by 5 to solve for $m$:**
$$m = \frac{-20}{5}$$
6. **Simplify the fraction:**
$$m = \cancel{\frac{-20}{5}} = -4$$
**Final answer:**
$$m = -4$$