(4x+2)/x+(4x-22)/(x-5)=(x-6)/(x-4)+(7x+9)/(x+1)

(4X+2)/X+【4(X-5)-2】/(X-5)=【(X-4)-2】/(X-4)+【7(X+1)+2】/(X+1)
4+2/X+4-2/(X-5)=1-2/(X-4)+7+2/(X+1)
8+2/X-2/(X-5)=8+2/(X+1) -2/(X-4)
2/X-2/(X+1)= 2/(X-5) -2/(X-4)
1/X-1/(X+1)=1/(X-5)-1/(X-4)
1/【X(X+1)】=1/【(X-5)(X-4)】
20-10X=0
X=2