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3/x+1=6/x+3
We move all terms to the left:
3/x+1-(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
3/x-6/x-3+1=0
We multiply all the terms by the denominator
-3*x+1*x+3-6=0
We add all the numbers together, and all the variables
-2x-3=0
We move all terms containing x to the left, all other terms to the right
-2x=3
x=3/-2
x=-1+1/2
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