Step-by-step explanation:
[tex] \frac{3}{2x + 5} + \frac{5}{x - 5} \\ \\ = \frac{3(x - 5) + 5(2x + 5)}{(2x + 5)(x - 5)} \\ \\ = \frac{3x - 15 + 10x + 25}{(2x + 5)(x - 5)} \\ \\ = \frac{3x + 10x + 25- 15 }{2 {x}^{2} - 10x + 5x - 25 } \\ \\ = \frac{13x + 10 }{2 {x}^{2} - 5x - 25 } \\ \\ [/tex]
