1. **State the problem:** Solve the equation $$12 + \frac{x}{5} = 20$$ for $x$. 2. **Isolate the variable term:** Subtract 12 from both sides to isolate the term with $x$. $$12 + \frac{x}{5} - 12 = 20 - 12$$ $$\frac{x}{5} = 8$$ 3. **Eliminate the denominator:** Multiply both sides by 5 to solve for $x$. $$5 \times \frac{x}{5} = 8 \times 5$$ $$\cancel{5} \times \frac{x}{\cancel{5}} = 40$$ $$x = 40$$ 4. **Final answer:** The solution to the equation is $$x = 40$$.