5/x-8=1/x-2

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Solution for 5/x-8=1/x-2 equation:



5/x-8=1/x-2
We move all terms to the left:
5/x-8-(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+2-8=0
We multiply all the terms by the denominator
2*x-8*x+5-1=0
We add all the numbers together, and all the variables
-6x+4=0
We move all terms containing x to the left, all other terms to the right
-6x=-4
x=-4/-6
x=2/3

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