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6/x-2=4/x+3
We move all terms to the left:
6/x-2-(4/x+3)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x+3)!=0We get rid of parentheses
x∈R
6/x-4/x-3-2=0
We multiply all the terms by the denominator
-3*x-2*x+6-4=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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