\[\ \frac{5 - x}{x + 7} > 0\]
\[5 - x = 0\ \ \ \ \ \ \ x + 7 = 0\]
\[x = 5\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x = - 7\]
\[Ответ:\ \ \ x \in ( - 7;\ \ 5).\]