3/x=1/x+6

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Solution for 3/x=1/x+6 equation:



3/x=1/x+6
We move all terms to the left:
3/x-(1/x+6)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x+6)!=0
x∈R
We get rid of parentheses
3/x-1/x-6=0
We multiply all the terms by the denominator
-6*x+3-1=0
We add all the numbers together, and all the variables
-6x+2=0
We move all terms containing x to the left, all other terms to the right
-6x=-2
x=-2/-6
x=1/3

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