1. **State the problem:** Solve the equation $20x = 50$ for $x$. 2. **Formula and rules:** To solve for $x$, divide both sides of the equation by the coefficient of $x$, which is 20. 3. **Intermediate work:** $$20x = 50$$ Divide both sides by 20: $$x = \frac{50}{20}$$ Simplify the fraction: $$x = \frac{50 \div 10}{20 \div 10} = \frac{5}{2}$$ 4. **Explanation:** We isolate $x$ by dividing both sides by 20 because multiplication and division are inverse operations. Simplifying the fraction gives the exact value of $x$. 5. **Final answer:** $$x = \frac{5}{2}$$ or $2.5$.