Question 107634
{{{1/(x+5) + 2/(x+3) = (-2)/(x^2 + 8x +15)}}}
{{{1/(x+5) + 2/(x+3) = (-2)/(x+3)(x+5))}}}
{{{(x+3)(x+5)(1/(x+5) + 2/(x+3)) = (x+3)(x+5)((-2)/(x+3)(x+5)))}}}
{{{(x+3)+ 2(x+5) = -2}}}
{{{x+3+ 2x+10 = -2}}}
{{{3x+13=-2}}}
{{{3x+13=-2}}}
{{{3x=-15}}}
{{{x=-5}}}
Since (x+5) is in the denominator on the right hand side of the equation,
we made the assumption that x=-5 and x=-3 were not solutions to avoid division by zero. 
Since we derived that x=-5, there is no solution(inconsistent).