(1/x-1)+3=7/x-1

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Solution for (1/x-1)+3=7/x-1 equation: 



(1/x-1)+3=7/x-1

We move all terms to the left:

(1/x-1)+3-(7/x-1)=0



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

x∈R



We get rid of parentheses

1/x-7/x-1+1+3=0

We multiply all the terms by the denominator


-1*x+1*x+3*x+1-7=0

We add all the numbers together, and all the variables

3x-6=0

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

3x=6

x=6/3

x=2

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