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

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



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

We move all terms to the left:

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

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

We get rid of parentheses

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

We calculate fractions


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

We multiply all the terms by the denominator


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

We get rid of parentheses

2x+3x-2-3=0

We add all the numbers together, and all the variables

5x-5=0

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

5x=5

x=5/5

x=1

Równanie nie ma rozwiązania

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