10/(x+2)=15/x

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Solution for 10/(x+2)=15/x equation: 



10/(x+2)=15/x

We move all terms to the left:

10/(x+2)-(15/x)=0



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

10/(x+2)-(+15/x)=0

We get rid of parentheses

10/(x+2)-15/x=0

We calculate fractions


10x/(x^2+2x)+(-15x-30)/(x^2+2x)=0

We multiply all the terms by the denominator


10x+(-15x-30)=0

We get rid of parentheses

10x-15x-30=0

We add all the numbers together, and all the variables

-5x-30=0

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

-5x=30

x=30/-5

x=-6

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