1. **State the problem:** Simplify the expression $2x \times \frac{4}{x}$. 2. **Recall the multiplication rule for fractions and variables:** When multiplying, multiply numerators together and denominators together. Also, $x$ in numerator and denominator can cancel out if $x \neq 0$. 3. **Write the expression clearly:** $$2x \times \frac{4}{x} = \frac{2x \times 4}{x} = \frac{8x}{x}$$ 4. **Cancel the common factor $x$ in numerator and denominator:** $$\frac{8\cancel{x}}{\cancel{x}} = 8$$ 5. **Final answer:** The simplified expression is $8$.