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