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10/(20-x)=5/x
We move all terms to the left:
10/(20-x)-(5/x)=0
Domain of the equation: (20-x)!=0
We move all terms containing x to the left, all other terms to the right
-x!=-20
x!=-20/-1
x!=+20
x∈R
Domain of the equation: x)!=0We add all the numbers together, and all the variables
x!=0/1
x!=0
x∈R
10/(-1x+20)-(+5/x)=0
We get rid of parentheses
10/(-1x+20)-5/x=0
We calculate fractions
10x/(-1x^2+20x)+(5x-100)/(-1x^2+20x)=0
We multiply all the terms by the denominator
10x+(5x-100)=0
We get rid of parentheses
10x+5x-100=0
We add all the numbers together, and all the variables
15x-100=0
We move all terms containing x to the left, all other terms to the right
15x=100
x=100/15
x=6+2/3
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