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3/x+4=2/x-9
We move all terms to the left:
3/x+4-(2/x-9)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-9)!=0We get rid of parentheses
x∈R
3/x-2/x+9+4=0
We multiply all the terms by the denominator
9*x+4*x+3-2=0
We add all the numbers together, and all the variables
13x+1=0
We move all terms containing x to the left, all other terms to the right
13x=-1
x=-1/13
x=-1/13
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