Answer:
[tex]7 - \frac{10}{x} = 2 + \frac{15}{x} \\ \frac{10}{x} + \frac{15}{x} = 7 - 2 \\ \frac{(10 + 15)}{x} = 5 \\ \frac{25}{x} = 5 \\ x = \frac{25}{5} \\ \boxed{x = 5}[/tex]