4/(x+5)=6/x

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Solution for 4/(x+5)=6/x equation: 



4/(x+5)=6/x

We move all terms to the left:

4/(x+5)-(6/x)=0



Domain of the equation: (x+5)!=0

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

x!=-5

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

4/(x+5)-(+6/x)=0

We get rid of parentheses

4/(x+5)-6/x=0

We calculate fractions


4x/(x^2+5x)+(-6x-30)/(x^2+5x)=0

We multiply all the terms by the denominator


4x+(-6x-30)=0

We get rid of parentheses

4x-6x-30=0

We add all the numbers together, and all the variables

-2x-30=0

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

-2x=30

x=30/-2

x=-15

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