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3/x-4=5/x+4
We move all terms to the left:
3/x-4-(5/x+4)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x+4)!=0We get rid of parentheses
x∈R
3/x-5/x-4-4=0
We multiply all the terms by the denominator
-4*x-4*x+3-5=0
We add all the numbers together, and all the variables
-8x-2=0
We move all terms containing x to the left, all other terms to the right
-8x=2
x=2/-8
x=-1/4
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