(2x-8)/(2x+8)=4/5

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Solution for (2x-8)/(2x+8)=4/5 equation: 



(2x-8)/(2x+8)=4/5

We move all terms to the left:

(2x-8)/(2x+8)-(4/5)=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



We add all the numbers together, and all the variables

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

We get rid of parentheses

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

We calculate fractions


(10x-40)/(10x+40)+(-8x-32)/(10x+40)=0

We multiply all the terms by the denominator


(10x-40)+(-8x-32)=0

We get rid of parentheses

10x-8x-40-32=0

We add all the numbers together, and all the variables

2x-72=0

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

2x=72

x=72/2

x=36

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