1. **State the problem:** Simplify the expression $$\frac{1}{6x-5} - \frac{1}{6x-1}$$. 2. **Formula and rules:** To subtract fractions, find a common denominator and combine the numerators. 3. **Find the common denominator:** The denominators are $6x-5$ and $6x-1$, so the common denominator is $(6x-5)(6x-1)$. 4. **Rewrite each fraction with the common denominator:** $$\frac{1}{6x-5} = \frac{6x-1}{(6x-5)(6x-1)}$$ $$\frac{1}{6x-1} = \frac{6x-5}{(6x-5)(6x-1)}$$ 5. **Subtract the numerators:** $$\frac{6x-1}{(6x-5)(6x-1)} - \frac{6x-5}{(6x-5)(6x-1)} = \frac{(6x-1) - (6x-5)}{(6x-5)(6x-1)}$$ 6. **Simplify the numerator:** $$ (6x-1) - (6x-5) = 6x - 1 - 6x + 5 = 4 $$ 7. **Final simplified expression:** $$\frac{4}{(6x-5)(6x-1)}$$ This is the simplified form of the original expression.