1. **State the problem:** Simplify the expression $$\frac{3}{5} - \frac{2x - 1}{10} + \frac{3x - 2}{4}$$. 2. **Find a common denominator:** The denominators are 5, 10, and 4. The least common denominator (LCD) is 20. 3. **Rewrite each term with denominator 20:** $$\frac{3}{5} = \frac{3 \times 4}{5 \times 4} = \frac{12}{20}$$ $$\frac{2x - 1}{10} = \frac{(2x - 1) \times 2}{10 \times 2} = \frac{2(2x - 1)}{20} = \frac{4x - 2}{20}$$ $$\frac{3x - 2}{4} = \frac{(3x - 2) \times 5}{4 \times 5} = \frac{5(3x - 2)}{20} = \frac{15x - 10}{20}$$ 4. **Combine all terms over the common denominator 20:** $$\frac{12}{20} - \frac{4x - 2}{20} + \frac{15x - 10}{20} = \frac{12 - (4x - 2) + (15x - 10)}{20}$$ 5. **Simplify the numerator:** $$12 - (4x - 2) + (15x - 10) = 12 - 4x + 2 + 15x - 10 = (12 + 2 - 10) + (-4x + 15x) = 4 + 11x$$ 6. **Final simplified expression:** $$\frac{4 + 11x}{20}$$ **Answer:** $$\boxed{\frac{4 + 11x}{20}}$$