2/x+4=1/x-2

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Solution for 2/x+4=1/x-2 equation:



2/x+4=1/x-2
We move all terms to the left:
2/x+4-(1/x-2)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-2)!=0
x∈R
We get rid of parentheses
2/x-1/x+2+4=0
We multiply all the terms by the denominator
2*x+4*x+2-1=0
We add all the numbers together, and all the variables
6x+1=0
We move all terms containing x to the left, all other terms to the right
6x=-1
x=-1/6
x=-1/6

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