8/(x+1)=17/(x-8)

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Solution for 8/(x+1)=17/(x-8) equation: 



8/(x+1)=17/(x-8)

We move all terms to the left:

8/(x+1)-(17/(x-8))=0



Domain of the equation: (x+1)!=0

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

x!=-1

x∈R





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

x∈R



We calculate fractions


8x/((x+1)*(x-8)))+(-(17*(x+1))/((x+1)*(x-8)))=0



We calculate terms in parentheses: -(17*(x+1))/((x+1)*(x-8))), so:

17*(x+1))/((x+1)*(x-8))

We multiply all the terms by the denominator


17*(x+1))

We multiply parentheses

17x+

We add all the numbers together, and all the variables

17x

Back to the equation:

-(17x)



We add all the numbers together, and all the variables

-17x+8x/((x+1)*(x-8)))+(=0

We multiply all the terms by the denominator


-17x*((x+1)*(x-8)))+(+8x=0

We add all the numbers together, and all the variables

8x-17x*((x+1)*(x-8)))+(=0

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