2/(x-3)-1=4x-6

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Solution for 2/(x-3)-1=4x-6 equation: 



2/(x-3)-1=4x-6

We move all terms to the left:

2/(x-3)-1-(4x-6)=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



We get rid of parentheses

2/(x-3)-4x+6-1=0

We multiply all the terms by the denominator


-4x*(x-3)+6*(x-3)-1*(x-3)+2=0

We multiply parentheses

-4x^2+12x+6x-1*(x-3)-18+2=0

We add all the numbers together, and all the variables

-4x^2+18x-1*(x-3)-16=0

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

-4x^2+18x-1*(x-3)=16

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