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3/x-5=4/x+7
We move all terms to the left:
3/x-5-(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-7-5=0
We multiply all the terms by the denominator
-7*x-5*x+3-4=0
We add all the numbers together, and all the variables
-12x-1=0
We move all terms containing x to the left, all other terms to the right
-12x=1
x=1/-12
x=-1/12
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