1/x=3/x-1

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



1/x=3/x-1
We move all terms to the left:
1/x-(3/x-1)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-1)!=0
x∈R
We get rid of parentheses
1/x-3/x+1=0
We multiply all the terms by the denominator
1*x+1-3=0
We add all the numbers together, and all the variables
x-2=0
We move all terms containing x to the left, all other terms to the right
x=2

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