Express
5x+4x(x+2)(x−1)\displaystyle \frac{5x + 4}{x(x + 2)(x - 1)}x(x+2)(x−1)5x+4
in the form
Ax+Bx+2+Cx−1\displaystyle \frac{A}{x} + \frac{B}{x + 2} + \frac{C}{x - 1}xA+x+2B+x−1C
where AAA, B B\,B and C C\,C are integers.