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2/x+4=3/x-2
We move all terms to the left:
2/x+4-(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
2/x-3/x+2+4=0
We multiply all the terms by the denominator
2*x+4*x+2-3=0
We add all the numbers together, and all the variables
6x-1=0
We move all terms containing x to the left, all other terms to the right
6x=1
x=1/6
x=1/6
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