1. **State the problem:** Simplify the expression $(-6x-3)-(2x-5)$. 2. **Apply the distributive property:** Remove the parentheses by distributing the minus sign to the second group: $$-6x - 3 - 2x + 5$$ 3. **Combine like terms:** Group the $x$ terms and the constant terms: $$(-6x - 2x) + (-3 + 5)$$ 4. **Simplify each group:** $$-8x + 2$$ 5. **Final answer:** The simplified expression is $$\boxed{-8x + 2}$$