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6x/x-2=12/x-2+9
We move all terms to the left:
6x/x-2-(12/x-2+9)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-2+9)!=0We add all the numbers together, and all the variables
We move all terms containing x to the left, all other terms to the right
x+9)!=2
x∈R
6x/x-(12/x+7)-2=0
We get rid of parentheses
6x/x-12/x-7-2=0
We multiply all the terms by the denominator
6x-7*x-2*x-12=0
We add all the numbers together, and all the variables
-3x-12=0
We move all terms containing x to the left, all other terms to the right
-3x=12
x=12/-3
x=-4
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