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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!=0
x∈R
Domain of the equation: x-4)!=0We get rid of parentheses
x∈R
12/x-18/x+4-6=0
We multiply all the terms by the denominator
4*x-6*x+12-18=0
We add all the numbers together, and all the variables
-2x-6=0
We move all terms containing x to the left, all other terms to the right
-2x=6
x=6/-2
x=-3
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