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

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Solution for 2/(x-7)=3/(x-5) equation: 



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

We move all terms to the left:

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



Domain of the equation: (x-7)!=0

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

x!=7

x∈R





Domain of the equation: (x-5))!=0

x∈R



We calculate fractions


2x/((x-7)*(x-5)))+(-(3*(x-7))/((x-7)*(x-5)))=0



We calculate terms in parentheses: -(3*(x-7))/((x-7)*(x-5))), so:

3*(x-7))/((x-7)*(x-5))

We multiply all the terms by the denominator


3*(x-7))

We multiply parentheses

3x+

We add all the numbers together, and all the variables

3x

Back to the equation:

-(3x)



We add all the numbers together, and all the variables

-3x+2x/((x-7)*(x-5)))+(=0

We multiply all the terms by the denominator


-3x*((x-7)*(x-5)))+(+2x=0

We add all the numbers together, and all the variables

2x-3x*((x-7)*(x-5)))+(=0

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