If a, b, c d, and e are constants such that every x > 0 satisfies
\((5x^4 -8x^3 +x^2 - 4x+7)/(x+2)^4 = a+b/(x+2) +c/(x+2)^2 +d/(x+2)^3 +e/(x+2)^4\)
then what is the value of a+b+c?
