1. **State the problem:** Solve the equation $\frac{x}{2} = 6$ for $x$. 2. **Recall the formula and rule:** To isolate $x$, multiply both sides of the equation by 2, because multiplying by the denominator cancels the division. 3. **Multiply both sides by 2:** $$\cancel{2} \times \frac{x}{\cancel{2}} = 6 \times 2$$ 4. **Simplify:** $$x = 12$$ 5. **Conclusion:** The solution to the equation $\frac{x}{2} = 6$ is $x = 12$. This means if you divide 12 by 2, you get 6, which satisfies the original equation.