1. **State the problem:** Solve the equation $-(4-2X) = -(5X-3)$ for $X$. 2. **Apply the distributive property:** Remove the negative signs by distributing $-1$ inside the parentheses. $$-(4-2X) = -4 + 2X$$ $$-(5X-3) = -5X + 3$$ So the equation becomes: $$-4 + 2X = -5X + 3$$ 3. **Collect like terms:** Add $5X$ to both sides and add $4$ to both sides to isolate $X$ terms on one side and constants on the other. $$2X + 5X = 3 + 4$$ $$7X = 7$$ 4. **Solve for $X$:** Divide both sides by $7$. $$X = \frac{7}{7} = 1$$ 5. **Final answer:** $$\boxed{X = 1}$$