(X/X-8)+9=8/(x-8)

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Solution for (X/X-8)+9=8/(x-8) equation: 



(X/X-8)+9=8/(X-8)

We move all terms to the left:

(X/X-8)+9-(8/(X-8))=0



Domain of the equation: X-8)!=0

X∈R





Domain of the equation: (X-8))!=0

X∈R



We get rid of parentheses

X/X-(8/(X-8))-8+9=0

Fractions to decimals

-(8/(X-8))-8+9+1=0

We multiply all the terms by the denominator


-(8-8*(X-8))+9*(X-8))+1*(X-8))=0



We calculate terms in parentheses: -(8-8*(X-8)), so:

8-8*(X-8)

determiningTheFunctionDomain
-8*(X-8)+8

We multiply parentheses

-8X+64+8

We add all the numbers together, and all the variables

-8X+72

Back to the equation:

-(-8X+72)



We add all the numbers together, and all the variables

-(-8X+72)+9*(X-8))+1*(X=0

We get rid of parentheses

8X+9*(X-8))+1*(X-72=0

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

8X+9*(X-8))+1*(X=72

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