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