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Algebraic fractions: Question e: 5/[x (x + 1)] - 2/x + 3/(x + 1)

Question:

. . . . .[tex]\mbox{(e) }\, \dfrac{5}{x\, (x\, +\, 1)}\, -\, \dfrac{2}{x}\, +\, \dfrac{3}{x\, +\, 1}[/tex]

I'm getting myself confused with this one.

1) I multiplied all the denominators, so they all became x(x+1)x(x+1).

2) Then 5x(x+1) - 2x(x+1)(x+1) + 3x(x+1)x

3) Becomes, 5x^{2} + 5x - 2x^{3} - 4x^{2} - 2x + 3x^{3} + 3x^{2}

4) Simplified, 4x^{2 }+ 3x + x^{3 }/ x(x+1)x(x+1).

The answer is x + 3 / x(x+1). I don't know how to get this.

Appreciate your help all.

Thxs.