4/(2x+8)=2/3x

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Solution for 4/(2x+8)=2/3x equation:



4/(2x+8)=2/3x
We move all terms to the left:
4/(2x+8)-(2/3x)=0
Domain of the equation: (2x+8)!=0
We move all terms containing x to the left, all other terms to the right
2x!=-8
x!=-8/2
x!=-4
x∈R
Domain of the equation: 3x)!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
4/(2x+8)-(+2/3x)=0
We get rid of parentheses
4/(2x+8)-2/3x=0
We calculate fractions
12x/(6x^2+24x)+(-4x-16)/(6x^2+24x)=0
We multiply all the terms by the denominator
12x+(-4x-16)=0
We get rid of parentheses
12x-4x-16=0
We add all the numbers together, and all the variables
8x-16=0
We move all terms containing x to the left, all other terms to the right
8x=16
x=16/8
x=2

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