x-3/2+2x-4/2+3x-5/4+...+8x-10/9=3x-1/2+4x-2/3+...+10x-8/9

问题描述:

x-3/2+2x-4/2+3x-5/4+...+8x-10/9=3x-1/2+4x-2/3+...+10x-8/9

(-2x-2)/2+(-2x-2)/3+(-2x-2)/4+…+(-2x-2)/9=0
(-2x-2)*(1/2+1/3+1/4+1/5+…+1/9)=0
-2x-2=0
-2x=2
x=-1