5/x+6=1/x-2

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Solution for 5/x+6=1/x-2 equation:



5/x+6=1/x-2
We move all terms to the left:
5/x+6-(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
5/x-1/x+2+6=0
We multiply all the terms by the denominator
2*x+6*x+5-1=0
We add all the numbers together, and all the variables
8x+4=0
We move all terms containing x to the left, all other terms to the right
8x=-4
x=-4/8
x=-1/2

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