\[\frac{7}{a + 5} - \frac{7a - 3}{a^{2} + 5a} =\]
\[= \frac{7^{\backslash a}}{a + 5} - \frac{7a - 3}{a(a + 5)} =\]
\[= \frac{7a - 7a + 3}{a(a + 5)} = \frac{3}{a^{2} + 5a}.\]