2/(x+4)=10/x

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Solution for 2/(x+4)=10/x equation: 



2/(x+4)=10/x

We move all terms to the left:

2/(x+4)-(10/x)=0



Domain of the equation: (x+4)!=0

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

x!=-4

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

2/(x+4)-(+10/x)=0

We get rid of parentheses

2/(x+4)-10/x=0

We calculate fractions


2x/(x^2+4x)+(-10x-40)/(x^2+4x)=0

We multiply all the terms by the denominator


2x+(-10x-40)=0

We get rid of parentheses

2x-10x-40=0

We add all the numbers together, and all the variables

-8x-40=0

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

-8x=40

x=40/-8

x=-5

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