x+1/x+2 + x+16/x+7 =x+2/x+3 + x+5/x+6 多少了!要过程!速度的！！！！！！！！！！

(x+2-1)/(x+2)+(x+7-1)/(x+6)=(x+3-1)/(x+3)+(x+6-5)/(x+6)
1-1/(x+2)+1-1/(x+7)=1-1/(x+3)+1-1/(x+6)
-1/(x+2)-1/(x+7)=-1/(x+3)-1/(x+6)
1/(x+6)-1/(x+7)=1/(x+2)-1/(x+3)
(x+7-x-6)/(x+6)(x+7)=(x+3-x-2)/(x+2)(x+3)
1/(x+6)(x+7)=1/(x+2)(x+3)
(x+2)(x+3)=(x+6)(x+7)
x²+5x+6=x²+13x+42
-8x=36
x=-9/2
检验：x=-9/2是方程的根

(X+1/X+2)-(X+2/X+3)=(X+5/X+6)-(X+6/X+7)
(X方+4X+3-X方-4X-4)/(X方+5X+6)=(X方+12X+35-X方-12X-36)/(X方+13X+42)
X方+5X+6=X方+13X+42
-8X=36
X=-9/2