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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