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1/x+2=3/x-3
We move all terms to the left:
1/x+2-(3/x-3)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-3)!=0We get rid of parentheses
x∈R
1/x-3/x+3+2=0
We multiply all the terms by the denominator
3*x+2*x+1-3=0
We add all the numbers together, and all the variables
5x-2=0
We move all terms containing x to the left, all other terms to the right
5x=2
x=2/5
x=2/5
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