x/(x-1)=6/5

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Solution for x/(x-1)=6/5 equation: 



x/(x-1)=6/5

We move all terms to the left:

x/(x-1)-(6/5)=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



We add all the numbers together, and all the variables

x/(x-1)-(+6/5)=0

We get rid of parentheses

x/(x-1)-6/5=0

We calculate fractions


5x/(5x-5)+(-6x+6)/(5x-5)=0

We multiply all the terms by the denominator


5x+(-6x+6)=0

We get rid of parentheses

5x-6x+6=0

We add all the numbers together, and all the variables

-1x+6=0

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

-x=-6

x=-6/-1

x=+6

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