Find the coefficient of X3 in (x-1 / x) 9 expansion

Find the coefficient of X3 in (x-1 / x) 9 expansion

R + 1 is
T(r+1)=C(9,r)x^(9-r)*(-1/x)^r
So 9-r-r = 3
So r = 3
T4=C(9,3)*x^6*(-1/x)^3=-84
That is, the coefficient of X3 in (x-1 / x) 9 expansion is - 84