2/(x-3)=3/x

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



2/(x-3)=3/x

We move all terms to the left:

2/(x-3)-(3/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

2/(x-3)-(+3/x)=0

We get rid of parentheses

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

We calculate fractions


2x/(x^2-3x)+(-3x+9)/(x^2-3x)=0

We multiply all the terms by the denominator


2x+(-3x+9)=0

We get rid of parentheses

2x-3x+9=0

We add all the numbers together, and all the variables

-1x+9=0

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

-x=-9

x=-9/-1

x=+9

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