To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $\left(x-3\right)\left(x+2\right)$ and $3-x$ is $\left(x-3\right)\left(x+2\right)$. Multiply $\frac{1}{3-x}$ times $\frac{-\left(x+2\right)}{-\left(x+2\right)}$.
Since $\frac{2x-1}{\left(x-3\right)\left(x+2\right)}$ and $\frac{-\left(x+2\right)}{\left(x-3\right)\left(x+2\right)}$ have the same denominator, add them by adding their numerators.
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $\left(x-3\right)\left(x+2\right)$ and $3-x$ is $\left(x-3\right)\left(x+2\right)$. Multiply $\frac{1}{3-x}$ times $\frac{-\left(x+2\right)}{-\left(x+2\right)}$.
Since $\frac{2x-1}{\left(x-3\right)\left(x+2\right)}$ and $\frac{-\left(x+2\right)}{\left(x-3\right)\left(x+2\right)}$ have the same denominator, add them by adding their numerators.