1. **State the problem:** Solve the equation $\frac{2x + 4}{2} = 4$ for $x$. 2. **Formula and rules:** To solve for $x$, we need to isolate $x$ on one side of the equation. We can do this by eliminating the denominator and then simplifying. 3. **Eliminate the denominator:** Multiply both sides of the equation by 2 to cancel the denominator: $$\cancel{2} \times \frac{2x + 4}{\cancel{2}} = 4 \times 2$$ which simplifies to: $$2x + 4 = 8$$ 4. **Isolate $x$:** Subtract 4 from both sides: $$2x + 4 - 4 = 8 - 4$$ $$2x = 4$$ 5. **Solve for $x$:** Divide both sides by 2: $$\cancel{2}x = \frac{4}{\cancel{2}}$$ $$x = 2$$ 6. **Final answer:** The solution to the equation is $x = 2$.