1. **State the problem:** Simplify the expression $\frac{-3x+4}{2x+3}$. 2. **Identify the expression:** This is a rational expression, a fraction where both numerator and denominator are linear polynomials. 3. **Check for common factors:** The numerator is $-3x+4$ and the denominator is $2x+3$. Neither can be factored further to reveal common factors. 4. **Rewrite the numerator for clarity:** $-3x+4 = -(3x-4)$. This does not help simplify with the denominator $2x+3$. 5. **Conclusion:** Since there are no common factors to cancel, the expression is already in simplest form. **Final answer:** $$\frac{-3x+4}{2x+3}$$