1. **State the problem:** Solve the equation $$\frac{x}{6} = 4$$ for $x$. 2. **Recall the formula:** To solve for $x$ when it is divided by a number, multiply both sides of the equation by that number to isolate $x$. 3. **Apply the rule:** Multiply both sides by 6: $$6 \times \frac{x}{6} = 6 \times 4$$ 4. **Simplify:** Use the cancellation rule: $$\cancel{6} \times \frac{x}{\cancel{6}} = 24$$ which simplifies to $$x = 24$$ 5. **Check the solution:** Substitute $x=24$ back into the original equation: $$\frac{24}{6} = 4$$ which is true. **Final answer:** $$x = 24$$