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2x/x-3=4+6/x-3
We move all terms to the left:
2x/x-3-(4+6/x-3)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-3)!=0We add all the numbers together, and all the variables
x∈R
2x/x-(6/x+1)-3=0
We get rid of parentheses
2x/x-6/x-1-3=0
We multiply all the terms by the denominator
2x-1*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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