1. **State the problem:** We need to solve the equation $$\frac{2x+3}{4} = 5$$ for $x$. 2. **Formula and rules:** To solve equations involving fractions, multiply both sides by the denominator to eliminate the fraction. 3. **Multiply both sides by 4:** $$4 \times \frac{2x+3}{4} = 4 \times 5$$ 4. **Simplify by canceling the 4 in the numerator and denominator:** $$\cancel{4} \times \frac{2x+3}{\cancel{4}} = 20$$ 5. **This simplifies to:** $$2x + 3 = 20$$ 6. **Subtract 3 from both sides:** $$2x + 3 - 3 = 20 - 3$$ $$2x = 17$$ 7. **Divide both sides by 2:** $$\frac{2x}{2} = \frac{17}{2}$$ $$x = \frac{17}{2}$$ **Final answer:** $$x = \frac{17}{2}$$