(x/x-1)=(8/x+2)

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Solution for (x/x-1)=(8/x+2) equation: 



(x/x-1)=(8/x+2)

We move all terms to the left:

(x/x-1)-((8/x+2))=0



Domain of the equation: x-1)!=0

x∈R





Domain of the equation: x+2))!=0

x∈R



We get rid of parentheses

x/x-((8/x+2))-1=0

Fractions to decimals

-((8/x+2))-1+1=0

We multiply all the terms by the denominator


-((8-1*x+2))+1*x+2))=0



We calculate terms in parentheses: -((8-1*x+2)), so:

(8-1*x+2)

We add all the numbers together, and all the variables

(-1x+10)

We get rid of parentheses

-1x+10

Back to the equation:

-(-1x+10)



We add all the numbers together, and all the variables

x-(-1x+10)=0

We get rid of parentheses

x+1x-10=0

We add all the numbers together, and all the variables

2x-10=0

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

2x=10

x=10/2

x=5

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