(x/x-5)+1=5/x-5

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Solution for (x/x-5)+1=5/x-5 equation: 



(x/x-5)+1=5/x-5

We move all terms to the left:

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



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

x∈R



We get rid of parentheses

x/x-5/x-5+5+1=0

Fractions to decimals

-5/x-5+5+1+1=0

We multiply all the terms by the denominator


-5*x+5*x+1*x+1*x-5=0

We add all the numbers together, and all the variables

2x-5=0

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

2x=5

x=5/2

x=2+1/2

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