1. **State the problem:** Solve the equation $$4(x + 2) = 8$$ for $$x$$. 2. **Use the distributive property and isolate the term with $$x$$:** We start by dividing both sides of the equation by 4 to simplify. $$\frac{4(x + 2)}{4} = \frac{8}{4}$$ 3. **Cancel the common factor 4:** $$\cancel{4}(x + 2) / \cancel{4} = 2$$ This simplifies to: $$x + 2 = 2$$ 4. **Subtract 2 from both sides to solve for $$x$$:** $$x + 2 - 2 = 2 - 2$$ $$x = 0$$ **Final answer:** $$x = 0$$