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

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



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

We move all terms to the left:

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

x!=0/1

x!=0

x∈R



We add all the numbers together, and all the variables

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

We get rid of parentheses

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

We calculate fractions


8x/(2x^2+10x)+(-3x-15)/(2x^2+10x)=0

We multiply all the terms by the denominator


8x+(-3x-15)=0

We get rid of parentheses

8x-3x-15=0

We add all the numbers together, and all the variables

5x-15=0

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

5x=15

x=15/5

x=3

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