解分式方程:(X-1)分之X-(1-X)分之3=3[解释]

题目

解分式方程:(X-1)分之X-(1-X)分之3=3[解释]

答案

x/(x-1)-3/(1-x)=3
x/(x-1)+3/(x-1)=3
(x+3)/(x-1)=3
x+3=3(x-1)
x+3=3x-3
2x=6
x=3