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