(x+1)/x=1/3

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Solution for (x+1)/x=1/3 equation:



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