Do it in the form A/x + B/(x+1) + C/(x+1)^2 + D/(x+1)^3
That should be a key as it has 3 repeated linear factors of (x+1)
you should then get A(x+1)^3 + Bx(x+1)^2 + C(x+1) + Dx = 3x + 2
then use substitution methods to find out the answer
In this case, A = 2, B = -2, C = -2, and D = 1