(x-2/2006-2)+(x/2007-2) +(x+2/2008-2)=0
(x-4014)/2006+(x-4014)/2007+(x-4014)/2008=0
(x-4014)·(1/2006+1/2007+1/2008)=0
∴ x-4014=0
∴ x=4014