(x/x-1)+7=1/x-1

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Solution for (x/x-1)+7=1/x-1 equation: 



(x/x-1)+7=1/x-1

We move all terms to the left:

(x/x-1)+7-(1/x-1)=0



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

x∈R



We get rid of parentheses

x/x-1/x-1+1+7=0

Fractions to decimals

-1/x-1+1+7+1=0

We multiply all the terms by the denominator


-1*x+1*x+7*x+1*x-1=0

We add all the numbers together, and all the variables

8x-1=0

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

8x=1

x=1/8

x=1/8

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