x/x-5+5=5/x-5

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



x/x-5+5=5/x-5

We move all terms to the left:

x/x-5+5-(5/x-5)=0



Domain of the equation: x!=0

x∈R





Domain of the equation: x-5)!=0

x∈R



We add all the numbers together, and all the variables

x/x-(5/x-5)=0

We get rid of parentheses

x/x-5/x+5=0

Fractions to decimals

-5/x+5+1=0

We multiply all the terms by the denominator


5*x+1*x-5=0

We add all the numbers together, and all the variables

6x-5=0

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

6x=5

x=5/6

x=5/6

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