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12=((x-6)/x)
We move all terms to the left:
12-(((x-6)/x))=0
Domain of the equation: x))!=0We multiply all the terms by the denominator
x!=0/1
x!=0
x∈R
-(((x-6)+12*x))=0
We calculate terms in parentheses: -(((x-6)+12*x)), so:We get rid of parentheses
((x-6)+12*x)
We calculate terms in parentheses: +((x-6)+12*x), so:We get rid of parentheses
(x-6)+12*x
We add all the numbers together, and all the variables
12x+(x-6)
We get rid of parentheses
12x+x-6
We add all the numbers together, and all the variables
13x-6
Back to the equation:
+(13x-6)
13x-6
Back to the equation:
-(13x-6)
-13x+6=0
We move all terms containing x to the left, all other terms to the right
-13x=-6
x=-6/-13
x=6/13
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