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