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

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



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

We move all terms to the left:

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

x∈R



We calculate fractions


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



We calculate terms in parentheses: -(2*(x-7))/((x-7)*(x-2))), so:

2*(x-7))/((x-7)*(x-2))

We multiply all the terms by the denominator


2*(x-7))

We multiply parentheses

2x+

We add all the numbers together, and all the variables

2x

Back to the equation:

-(2x)



We add all the numbers together, and all the variables

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

We multiply all the terms by the denominator


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

We add all the numbers together, and all the variables

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

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