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3/x+6=4/x-7
We move all terms to the left:
3/x+6-(4/x-7)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-7)!=0We get rid of parentheses
x∈R
3/x-4/x+7+6=0
We multiply all the terms by the denominator
7*x+6*x+3-4=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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