解方程 x+2分之x+3加x+3分之x+4=x+4分之x+5加x+1分之x+2

网友回答

1+1/(x+2)+1+1/(x+3)=1+1/(x+4)+1+1/(x+1)
1/(x+2)+1/(x+3)=1/(x+4)+1/(x+1)
1/(x+3)-1/(x+4)=1/(x+1)-1/(x+2)
1/(x+3)(x+4)=1/(x+1)(x+2)
(x+1)(x+2)=(x+3)(x+4)
x²+3x+2=x²+7x+12
x=-5/2
检验：x=-5/2是方程的解