2x/(x-3)=4+6/x-3

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Solution for 2x/(x-3)=4+6/x-3 equation: 



2x/(x-3)=4+6/x-3

We move all terms to the left:

2x/(x-3)-(4+6/x-3)=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-3)!=0

x∈R



We add all the numbers together, and all the variables

2x/(x-3)-(6/x+1)=0

We get rid of parentheses

2x/(x-3)-6/x-1=0

We calculate fractions


2x^2/(x^2-3x)+(-6x+18)/(x^2-3x)-1=0

We multiply all the terms by the denominator


2x^2+(-6x+18)-1*(x^2-3x)=0

We get rid of parentheses

2x^2-6x-1*(x^2-3x)+18=0

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

2x^2-6x-1*(x^2-3x)=-18

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