1. The problem is to solve the equation $$\frac{2x+4}{3} = 6$$ for $x$. 2. The formula used is to isolate $x$ by multiplying both sides by the denominator to eliminate the fraction. 3. Multiply both sides by 3: $$3 \times \frac{2x+4}{3} = 3 \times 6$$ 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 to solve for $x$: $$x = \frac{14}{2}$$ 6. Simplify the fraction: $$x = 7$$ The solution is $x = 7$.