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

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



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

We move all terms to the left:

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

We get rid of parentheses

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

We calculate fractions


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

We multiply all the terms by the denominator


(3x-6)+(4x-12)=0

We get rid of parentheses

3x+4x-6-12=0

We add all the numbers together, and all the variables

7x-18=0

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

7x=18

x=18/7

x=2+4/7

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