1. **State the problem:** Solve the equation $$\frac{x}{2} \times 6 + \frac{x}{3} \times 6 = 4 \times 6$$. 2. **Rewrite the equation:** Multiply inside the parentheses: $$\frac{x}{2} \times 6 = 3x$$ $$\frac{x}{3} \times 6 = 2x$$ So the equation becomes: $$3x + 2x = 24$$ 3. **Combine like terms:** $$3x + 2x = 5x$$ So: $$5x = 24$$ 4. **Solve for $x$:** Divide both sides by 5: $$\frac{\cancel{5}x}{\cancel{5}} = \frac{24}{5}$$ $$x = \frac{24}{5}$$ 5. **Final answer:** $$x = \frac{24}{5} = 4.8$$ Note: The user's original simplification to $x=2$ is incorrect because the terms were not combined properly.