1/x-1+2=7/x-1

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Solution for 1/x-1+2=7/x-1 equation: 



1/x-1+2=7/x-1

We move all terms to the left:

1/x-1+2-(7/x-1)=0



Domain of the equation: x!=0

x∈R





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

x∈R



We add all the numbers together, and all the variables

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

We get rid of parentheses

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

We multiply all the terms by the denominator


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

We add all the numbers together, and all the variables

2x-6=0

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

2x=6

x=6/2

x=3

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