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