(x/x-9)+5=9/(x-9)

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Solution for (x/x-9)+5=9/(x-9) equation: 



(x/x-9)+5=9/(x-9)

We move all terms to the left:

(x/x-9)+5-(9/(x-9))=0



Domain of the equation: x-9)!=0

x∈R





Domain of the equation: (x-9))!=0

x∈R



We get rid of parentheses

x/x-(9/(x-9))-9+5=0

Fractions to decimals

-(9/(x-9))-9+5+1=0

We multiply all the terms by the denominator


-(9-9*(x-9))+5*(x-9))+1*(x-9))=0



We calculate terms in parentheses: -(9-9*(x-9)), so:

9-9*(x-9)

determiningTheFunctionDomain
-9*(x-9)+9

We multiply parentheses

-9x+81+9

We add all the numbers together, and all the variables

-9x+90

Back to the equation:

-(-9x+90)



We add all the numbers together, and all the variables

-(-9x+90)+5*(x-9))+1*(x=0

We get rid of parentheses

9x+5*(x-9))+1*(x-90=0

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

9x+5*(x-9))+1*(x=90

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