To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $x-5$ and $x-6$ is $\left(x-6\right)\left(x-5\right)$. Multiply $\frac{x+5}{x-5}$ times $\frac{x-6}{x-6}$. Multiply $\frac{x+5}{x-6}$ times $\frac{x-5}{x-5}$.
Since $\frac{\left(x+5\right)\left(x-6\right)}{\left(x-6\right)\left(x-5\right)}$ and $\frac{\left(x+5\right)\left(x-5\right)}{\left(x-6\right)\left(x-5\right)}$ 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 $x-5$ and $x-6$ is $\left(x-6\right)\left(x-5\right)$. Multiply $\frac{x+5}{x-5}$ times $\frac{x-6}{x-6}$. Multiply $\frac{x+5}{x-6}$ times $\frac{x-5}{x-5}$.
Since $\frac{\left(x+5\right)\left(x-6\right)}{\left(x-6\right)\left(x-5\right)}$ and $\frac{\left(x+5\right)\left(x-5\right)}{\left(x-6\right)\left(x-5\right)}$ have the same denominator, add them by adding their numerators.
