解方程：x/(x+1)=2x/3(x+1）+1

解方程：x/(x+1)=2x/3(x+1）+1
解方程：x/(x+1)=2x/3(x+1）+1

解方程：x/(x+1)=2x/3(x+1）+1
x/(x+1)=2x/3(x+1）+1 左边上下同乘3
得 3x/3(x+1)=2x/3(x+1）+1
移项得 3x/3(x+1)-2x/3(x+1）=1
得 x/3(x+1)=1
得 x=3(x+1）
x-3x=3 x=-3/2

x/(x+1)=2x/3(x+1）+1
3x=2x+3(x+1)=5x+3
2x+3=0
x=3/2

-1.5 {(x-2/3x)}/(x+1)=1
x/3(x+1)=1
x=-1.5

x/(x+1)=2x/3(x+1）+1 两边乘3(x+1)
3x=2x+3(x+1)=2x+3x+3=5x+3
2x=-3
x=-3/2