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1/x-2=3/x+4
We move all terms to the left:
1/x-2-(3/x+4)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x+4)!=0We get rid of parentheses
x∈R
1/x-3/x-4-2=0
We multiply all the terms by the denominator
-4*x-2*x+1-3=0
We add all the numbers together, and all the variables
-6x-2=0
We move all terms containing x to the left, all other terms to the right
-6x=2
x=2/-6
x=-1/3
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