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12/(x-6)=18/(x-4)
We move all terms to the left:
12/(x-6)-(18/(x-4))=0
Domain of the equation: (x-6)!=0
We move all terms containing x to the left, all other terms to the right
x!=6
x∈R
Domain of the equation: (x-4))!=0We calculate fractions
x∈R
12x/((x-6)*(x-4)))+(-(18*(x-6))/((x-6)*(x-4)))=0
We calculate terms in parentheses: -(18*(x-6))/((x-6)*(x-4))), so:We add all the numbers together, and all the variables
18*(x-6))/((x-6)*(x-4))
We multiply all the terms by the denominator
18*(x-6))
We multiply parentheses
18x+
We add all the numbers together, and all the variables
18x
Back to the equation:
-(18x)
-18x+12x/((x-6)*(x-4)))+(=0
We multiply all the terms by the denominator
-18x*((x-6)*(x-4)))+(+12x=0
We add all the numbers together, and all the variables
12x-18x*((x-6)*(x-4)))+(=0
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