To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $x+2$ and $x+3$ is $\left(x+2\right)\left(x+3\right)$. Multiply $\frac{x-7}{x+2}$ times $\frac{x+3}{x+3}$. Multiply $\frac{8x-5}{x+3}$ times $\frac{x+2}{x+2}$.
Since $\frac{\left(x-7\right)\left(x+3\right)}{\left(x+2\right)\left(x+3\right)}$ and $\frac{\left(8x-5\right)\left(x+2\right)}{\left(x+2\right)\left(x+3\right)}$ 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 $x+2$ and $x+3$ is $\left(x+2\right)\left(x+3\right)$. Multiply $\frac{x-7}{x+2}$ times $\frac{x+3}{x+3}$. Multiply $\frac{8x-5}{x+3}$ times $\frac{x+2}{x+2}$.
Since $\frac{\left(x-7\right)\left(x+3\right)}{\left(x+2\right)\left(x+3\right)}$ and $\frac{\left(8x-5\right)\left(x+2\right)}{\left(x+2\right)\left(x+3\right)}$ have the same denominator, add them by adding their numerators.
