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8/x=12/x-6
We move all terms to the left:
8/x-(12/x-6)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-6)!=0We get rid of parentheses
x∈R
8/x-12/x+6=0
We multiply all the terms by the denominator
6*x+8-12=0
We add all the numbers together, and all the variables
6x-4=0
We move all terms containing x to the left, all other terms to the right
6x=4
x=4/6
x=2/3
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