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