(6x-8)/(2x+10)=2/3

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Solution for (6x-8)/(2x+10)=2/3 equation: 



(6x-8)/(2x+10)=2/3

We move all terms to the left:

(6x-8)/(2x+10)-(2/3)=0



Domain of the equation: (2x+10)!=0

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

2x!=-10

x!=-10/2

x!=-5

x∈R



We add all the numbers together, and all the variables

(6x-8)/(2x+10)-(+2/3)=0

We get rid of parentheses

(6x-8)/(2x+10)-2/3=0

We calculate fractions


(18x-24)/(6x+30)+(-4x-20)/(6x+30)=0

We multiply all the terms by the denominator


(18x-24)+(-4x-20)=0

We get rid of parentheses

18x-4x-24-20=0

We add all the numbers together, and all the variables

14x-44=0

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

14x=44

x=44/14

x=3+1/7

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