2/(x+3)=5/(4x)

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Solution for 2/(x+3)=5/(4x) equation: 



2/(x+3)=5/(4x)

We move all terms to the left:

2/(x+3)-(5/(4x))=0



Domain of the equation: (x+3)!=0

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

x!=-3

x∈R





Domain of the equation: 4x)!=0

x!=0/1

x!=0

x∈R



We add all the numbers together, and all the variables

2/(x+3)-(+5/4x)=0

We get rid of parentheses

2/(x+3)-5/4x=0

We calculate fractions


8x/(4x^2+12x)+(-5x-15)/(4x^2+12x)=0

We multiply all the terms by the denominator


8x+(-5x-15)=0

We get rid of parentheses

8x-5x-15=0

We add all the numbers together, and all the variables

3x-15=0

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

3x=15

x=15/3

x=5

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