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3/x+1=3x/x+5
We move all terms to the left:
3/x+1-(3x/x+5)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x+5)!=0We get rid of parentheses
x∈R
3/x-3x/x-5+1=0
We multiply all the terms by the denominator
-3x-5*x+1*x+3=0
We add all the numbers together, and all the variables
-7x+3=0
We move all terms containing x to the left, all other terms to the right
-7x=-3
x=-3/-7
x=3/7
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