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2/x+1/(x-2)=1
We move all terms to the left:
2/x+1/(x-2)-(1)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: (x-2)!=0We calculate fractions
We move all terms containing x to the left, all other terms to the right
x!=2
x∈R
(2x-4)/(x^2-2x)+x/(x^2-2x)-1=0
We multiply all the terms by the denominator
(2x-4)+x-1*(x^2-2x)=0
We add all the numbers together, and all the variables
x+(2x-4)-1*(x^2-2x)=0
We get rid of parentheses
x+2x-1*(x^2-2x)-4=0
We add all the numbers together, and all the variables
3x-1*(x^2-2x)-4=0
We move all terms containing x to the left, all other terms to the right
3x-1*(x^2-2x)=4
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