(3x-2)/(1-x)=14/3

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Solution for (3x-2)/(1-x)=14/3 equation: 



(3x-2)/(1-x)=14/3

We move all terms to the left:

(3x-2)/(1-x)-(14/3)=0



Domain of the equation: (1-x)!=0

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

-x!=-1

x!=-1/-1

x!=1

x∈R



We add all the numbers together, and all the variables

(3x-2)/(-1x+1)-(+14/3)=0

We get rid of parentheses

(3x-2)/(-1x+1)-14/3=0

We calculate fractions


(9x-6)/(-3x+3)+(14x-14)/(-3x+3)=0

We multiply all the terms by the denominator


(9x-6)+(14x-14)=0

We get rid of parentheses

9x+14x-6-14=0

We add all the numbers together, and all the variables

23x-20=0

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

23x=20

x=20/23

x=20/23

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