1. **State the problem:** Simplify the expression $$\frac{85-7x}{5}$$. 2. **Formula and rules:** When dividing a subtraction by a number, you can split the division over each term: $$\frac{a - b}{c} = \frac{a}{c} - \frac{b}{c}$$ 3. **Apply the rule:** $$\frac{85-7x}{5} = \frac{85}{5} - \frac{7x}{5}$$ 4. **Simplify each term:** $$\frac{85}{5} = 17$$ For the second term, since 7 and 5 have no common factors, it remains as is: $$\frac{7x}{5}$$ 5. **Final simplified expression:** $$17 - \frac{7x}{5}$$ This is the simplest form of the given expression.