8/(x-3)=20/x

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Solution for 8/(x-3)=20/x equation: 



8/(x-3)=20/x

We move all terms to the left:

8/(x-3)-(20/x)=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)!=0

x!=0/1

x!=0

x∈R



We add all the numbers together, and all the variables

8/(x-3)-(+20/x)=0

We get rid of parentheses

8/(x-3)-20/x=0

We calculate fractions


8x/(x^2-3x)+(-20x+60)/(x^2-3x)=0

We multiply all the terms by the denominator


8x+(-20x+60)=0

We get rid of parentheses

8x-20x+60=0

We add all the numbers together, and all the variables

-12x+60=0

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

-12x=-60

x=-60/-12

x=+5

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