1. **State the problem:** Solve the equation $x - (5x + 3) - 3 = -(-x + 2)$ for $x$. 2. **Apply the distributive property and remove parentheses:** $$x - 5x - 3 - 3 = -(-x + 2)$$ 3. **Simplify the right side by distributing the negative sign:** $$x - 5x - 3 - 3 = x - 2$$ 4. **Combine like terms on the left side:** $$\cancel{x} - 5\cancel{x} - 3 - 3 = x - 2$$ $$-4x - 6 = x - 2$$ 5. **Bring all $x$ terms to one side and constants to the other:** $$-4x - x = -2 + 6$$ $$\cancel{-4x} - \cancel{x} = 4$$ $$-5x = 4$$ 6. **Divide both sides by $-5$ to solve for $x$:** $$x = \frac{4}{-5}$$ $$x = -\frac{4}{5}$$ **Final answer:** $$x = -\frac{4}{5}$$