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6/x-3=2x/x-3
We move all terms to the left:
6/x-3-(2x/x-3)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-3)!=0We get rid of parentheses
x∈R
6/x-2x/x+3-3=0
We multiply all the terms by the denominator
-2x+3*x-3*x+6=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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