(6)/(x-1)-(6)/(x)=1

Solution for (6)/(x-1)-(6)/(x)=1 equation:

(6)/(x-1)-(6)/(x)=1

We move all terms to the left:

(6)/(x-1)-(6)/(x)-(1)=0


Domain of the equation: (x-1)!=0

We move all terms containing x to the left, all other terms to the right

x!=1

x∈R



Domain of the equation: x!=0

x∈R


We calculate fractions


6x/(x^2-1x)+(-6x+6)/(x^2-1x)-1=0

We multiply all the terms by the denominator


6x+(-6x+6)-1*(x^2-1x)=0

We get rid of parentheses

6x-6x-1*(x^2-1x)+6=0

We add all the numbers together, and all the variables

-1*(x^2-1x)+6=0

We move all terms containing x to the left, all other terms to the right

-1*(x^2-1x)=-6