1. **Stating the problem:** Solve the equation $$2x + 4 = 2x + 4$$ for $$x$$. 2. **Formula and rules:** When solving equations, if after simplifying both sides are identical, it means the equation has infinite solutions. 3. **Step 1:** Subtract $$2x$$ from both sides to move variable terms to one side: $$2x + 4 - \cancel{2x} = 2x + 4 - \cancel{2x}$$ which simplifies to: $$4 = 4$$ 4. **Step 2:** The resulting statement $$4 = 4$$ is true and does not involve $$x$$. 5. **Interpretation:** Since the variable terms canceled out and the remaining statement is true, the equation holds for all values of $$x$$. 6. **Conclusion:** The equation has infinitely many solutions. 7. **Final answer:** $$\boxed{\text{Infinite solutions}}$$