(1/x+1)+(1/x+2)=1/x

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Solution for (1/x+1)+(1/x+2)=1/x equation:



(1/x+1)+(1/x+2)=1/x
We move all terms to the left:
(1/x+1)+(1/x+2)-(1/x)=0
Domain of the equation: x+1)!=0
x∈R
Domain of the equation: x+2)!=0
x∈R
Domain of the equation: x)!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
(1/x+1)+(1/x+2)-(+1/x)=0
We get rid of parentheses
1/x+1/x-1/x+1+2=0
We multiply all the terms by the denominator
1*x+2*x+1+1-1=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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