1. Problem: Solve the equation $\frac{2x+4}{3} = 6$ for $x$. 2. Formula and rules: To solve for $x$, multiply both sides by the denominator to eliminate the fraction. 3. Multiply both sides by 3: $$\cancel{3} \times \frac{2x+4}{\cancel{3}} = 6 \times 3$$ which simplifies to $$2x + 4 = 18$$ 4. Subtract 4 from both sides: $$2x + 4 - 4 = 18 - 4$$ $$2x = 14$$ 5. Divide both sides by 2: $$\frac{2x}{\cancel{2}} = \frac{14}{\cancel{2}}$$ $$x = 7$$ 6. Final answer: $x = 7$