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

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



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

We move all terms to the left:

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



Domain of the equation: (x-2)!=0

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

x!=2

x∈R



We multiply all the terms by the denominator


(x-1)-3*(x-2)=0

We multiply parentheses

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

We get rid of parentheses

x-3x-1+6=0

We add all the numbers together, and all the variables

-2x+5=0

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

-2x=-5

x=-5/-2

x=2+1/2

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