600/(x+10)=500/x

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Solution for 600/(x+10)=500/x equation: 



600/(x+10)=500/x

We move all terms to the left:

600/(x+10)-(500/x)=0



Domain of the equation: (x+10)!=0

We move all terms containing x to the left, all other terms to the right

x!=-10

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

600/(x+10)-(+500/x)=0

We get rid of parentheses

600/(x+10)-500/x=0

We calculate fractions


600x/(x^2+10x)+(-500x-5000)/(x^2+10x)=0

We multiply all the terms by the denominator


600x+(-500x-5000)=0

We get rid of parentheses

600x-500x-5000=0

We add all the numbers together, and all the variables

100x-5000=0

We move all terms containing x to the left, all other terms to the right

100x=5000

x=5000/100

x=50

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