5/(x-3)=7/(x-9)

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Solution for 5/(x-3)=7/(x-9) equation: 



5/(x-3)=7/(x-9)

We move all terms to the left:

5/(x-3)-(7/(x-9))=0



Domain of the equation: (x-3)!=0

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

x!=3

x∈R





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

x∈R



We calculate fractions


5x/((x-3)*(x-9)))+(-(7*(x-3))/((x-3)*(x-9)))=0



We calculate terms in parentheses: -(7*(x-3))/((x-3)*(x-9))), so:

7*(x-3))/((x-3)*(x-9))

We multiply all the terms by the denominator


7*(x-3))

We multiply parentheses

7x+

We add all the numbers together, and all the variables

7x

Back to the equation:

-(7x)



We add all the numbers together, and all the variables

-7x+5x/((x-3)*(x-9)))+(=0

We multiply all the terms by the denominator


-7x*((x-3)*(x-9)))+(+5x=0

We add all the numbers together, and all the variables

5x-7x*((x-3)*(x-9)))+(=0

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