1. **State the problem:** Solve the equation $$\frac{2x+4}{3} = 5$$ for $x$. 2. **Formula and rules:** To solve for $x$ in a fraction equation, multiply both sides by the denominator to eliminate the fraction. 3. **Multiply both sides by 3:** $$3 \times \frac{2x+4}{3} = 3 \times 5$$ $$\cancel{3} \times \frac{2x+4}{\cancel{3}} = 15$$ $$2x + 4 = 15$$ 4. **Isolate $x$:** Subtract 4 from both sides: $$2x + 4 - 4 = 15 - 4$$ $$2x = 11$$ 5. **Divide both sides by 2:** $$\frac{2x}{2} = \frac{11}{2}$$ $$\cancel{2}x / \cancel{2} = \frac{11}{2}$$ $$x = \frac{11}{2}$$ 6. **Final answer:** $$x = \frac{11}{2}$$ or 5.5. This means the value of $x$ that satisfies the equation is $5.5$.