1. **Stating the problem:** Solve the equation $\frac{x}{2} = 16$ for $x$. 2. **Formula and rules:** To isolate $x$, multiply both sides of the equation by 2 to cancel the denominator. 3. **Intermediate work:** $$\frac{x}{2} = 16$$ Multiply both sides by 2: $$x = 16 \times 2$$ 4. **Simplification:** $$x = 32$$ 5. **Explanation:** Multiplying both sides by 2 removes the division by 2 on the left side, leaving $x$ alone. Then, multiplying 16 by 2 gives 32, which is the solution. **Final answer:** $x = 32$