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3/x=7+1/x
We move all terms to the left:
3/x-(7+1/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-(1/x+7)=0
We get rid of parentheses
3/x-1/x-7=0
We multiply all the terms by the denominator
-7*x+3-1=0
We add all the numbers together, and all the variables
-7x+2=0
We move all terms containing x to the left, all other terms to the right
-7x=-2
x=-2/-7
x=2/7
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