370. Solve the equation:

$$
\frac{2}{x+8}+\frac{5}{x+9}=\frac{3}{x+15}+\frac{4}{x+6}
$$
$\triangle$ Let's represent the equation in the following form:

$$
\frac{5}{x+9}-\frac{4}{x+6}=\frac{3}{x+15}-\frac{2}{x+8}
$$

We will bring the differences in the left and right parts of this equation to common denominators:

$\frac{x-6}{(x+9)(x+6)}=\frac{x-6}{(x+15)(x+8)}$,

$(x-6)\left(\frac{1}{(x+9)(x+6)}-\frac{1}{(x+15)(x+8)}\right)=0$.

Let's set each of the factors in the left part of the last equation to zero. Solve the problem to the end independently.

Answer: $6, -33 / 4$.