1/x=5/x+1

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Solution for 1/x=5/x+1 equation: 



1/x=5/x+1

We move all terms to the left:

1/x-(5/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-5/x-1=0

We multiply all the terms by the denominator


-1*x+1-5=0

We add all the numbers together, and all the variables

-1x-4=0

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

-x=4

x=4/-1

x=-4

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