(x+2)/(2x-6)=2/8

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Solution for (x+2)/(2x-6)=2/8 equation: 



(x+2)/(2x-6)=2/8

We move all terms to the left:

(x+2)/(2x-6)-(2/8)=0



Domain of the equation: (2x-6)!=0

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

2x!=6

x!=6/2

x!=3

x∈R



We add all the numbers together, and all the variables

(x+2)/(2x-6)-(+2/8)=0

We get rid of parentheses

(x+2)/(2x-6)-2/8=0

We calculate fractions


(8x+16)/(16x-48)+(-4x+12)/(16x-48)=0

We multiply all the terms by the denominator


(8x+16)+(-4x+12)=0

We get rid of parentheses

8x-4x+16+12=0

We add all the numbers together, and all the variables

4x+28=0

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

4x=-28

x=-28/4

x=-7

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