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

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



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

We move all terms to the left:

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

We get rid of parentheses

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

We calculate fractions


(3x+24)/(6x+18)+(-4x-12)/(6x+18)=0

We multiply all the terms by the denominator


(3x+24)+(-4x-12)=0

We get rid of parentheses

3x-4x+24-12=0

We add all the numbers together, and all the variables

-1x+12=0

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

-x=-12

x=-12/-1

x=+12

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