1. **State the problem:** Solve the equation $$\frac{2x+4}{3} = \frac{x-1}{2}$$ for $x$. 2. **Formula and rules:** To solve equations with fractions, multiply both sides by the least common denominator (LCD) to eliminate fractions. 3. **Find the LCD:** The denominators are 3 and 2, so the LCD is 6. 4. **Multiply both sides by 6:** $$6 \times \frac{2x+4}{3} = 6 \times \frac{x-1}{2}$$ 5. **Simplify each side:** $$\cancel{6} \times \frac{2x+4}{\cancel{3}} \times 2 = \cancel{6} \times \frac{x-1}{\cancel{2}} \times 3$$ which simplifies to $$2 \times (2x+4) = 3 \times (x-1)$$ 6. **Distribute:** $$4x + 8 = 3x - 3$$ 7. **Isolate $x$ terms on one side:** $$4x - 3x = -3 - 8$$ 8. **Simplify:** $$x = -11$$ **Final answer:** $x = -11$