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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