1. Stating the problem: Simplify the expression $$\frac{3x - 4}{5} + \frac{5x - 2}{5}$$. 2. Since both terms have the same denominator 5, we can combine the numerators over the common denominator: $$\frac{3x - 4}{5} + \frac{5x - 2}{5} = \frac{(3x - 4) + (5x - 2)}{5}$$ 3. Simplify the numerator by combining like terms: $$\frac{3x - 4 + 5x - 2}{5} = \frac{(3x + 5x) + (-4 - 2)}{5} = \frac{8x - 6}{5}$$ 4. Factor the numerator if possible: $$\frac{8x - 6}{5} = \frac{2(4x - 3)}{5}$$ 5. Final simplified expression: $$\frac{2(4x - 3)}{5}$$ This is the simplest form of the given expression.