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100=((x+2)/x)
We move all terms to the left:
100-(((x+2)/x))=0
Domain of the equation: x))!=0We multiply all the terms by the denominator
x!=0/1
x!=0
x∈R
-(((x+2)+100*x))=0
We calculate terms in parentheses: -(((x+2)+100*x)), so:We get rid of parentheses
((x+2)+100*x)
We calculate terms in parentheses: +((x+2)+100*x), so:We get rid of parentheses
(x+2)+100*x
We add all the numbers together, and all the variables
100x+(x+2)
We get rid of parentheses
100x+x+2
We add all the numbers together, and all the variables
101x+2
Back to the equation:
+(101x+2)
101x+2
Back to the equation:
-(101x+2)
-101x-2=0
We move all terms containing x to the left, all other terms to the right
-101x=2
x=2/-101
x=-2/101
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