20/x-20/(x-2)=4/x

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Solution for 20/x-20/(x-2)=4/x equation:



20/x-20/(x-2)=4/x
We move all terms to the left:
20/x-20/(x-2)-(4/x)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: (x-2)!=0
We move all terms containing x to the left, all other terms to the right
x!=2
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
20/x-20/(x-2)-(+4/x)=0
We get rid of parentheses
20/x-20/(x-2)-4/x=0
We calculate fractions
(-4x+28)/(x^2-2x)+(-20x)/(x^2-2x)=0
We multiply all the terms by the denominator
(-4x+28)+(-20x)=0
We get rid of parentheses
-4x-20x+28=0
We add all the numbers together, and all the variables
-24x+28=0
We move all terms containing x to the left, all other terms to the right
-24x=-28
x=-28/-24
x=1+1/6

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