5/x-10=1/x

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Solution for 5/x-10=1/x equation:



5/x-10=1/x
We move all terms to the left:
5/x-10-(1/x)=0
Domain of the equation: x!=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
5/x-(+1/x)-10=0
We get rid of parentheses
5/x-1/x-10=0
We multiply all the terms by the denominator
-10*x+5-1=0
We add all the numbers together, and all the variables
-10x+4=0
We move all terms containing x to the left, all other terms to the right
-10x=-4
x=-4/-10
x=2/5

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