1. **State the problem:** Solve the equation $$\frac{2x + 4}{5} = 12$$ for $x$. 2. **Understand the formula and rules:** To solve for $x$, we need to isolate $x$ on one side of the equation. Since $2x + 4$ is divided by 5, we first multiply both sides by 5 to cancel the denominator. 3. **Multiply both sides by 5:** $$\frac{2x + 4}{\cancel{5}} \times \cancel{5} = 12 \times 5$$ $$2x + 4 = 60$$ 4. **Subtract 4 from both sides to isolate the term with $x$:** $$2x + 4 - 4 = 60 - 4$$ $$2x = 56$$ 5. **Divide both sides by 2 to solve for $x$:** $$\frac{\cancel{2}x}{\cancel{2}} = \frac{56}{2}$$ $$x = 28$$ **Final answer:** $$x = 28$$