1/x-1+3=10/x-1

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Solution for 1/x-1+3=10/x-1 equation: 



1/x-1+3=10/x-1

We move all terms to the left:

1/x-1+3-(10/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-(10/x-1)+2=0

We get rid of parentheses

1/x-10/x+1+2=0

We multiply all the terms by the denominator


1*x+2*x+1-10=0

We add all the numbers together, and all the variables

3x-9=0

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

3x=9

x=9/3

x=3

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