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

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



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

We move all terms to the left:

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



Domain of the equation: x!=0

x∈R



We add all the numbers together, and all the variables

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

We get rid of parentheses

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

We calculate fractions


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

We multiply all the terms by the denominator


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

We get rid of parentheses

3x-2x-3=0

We add all the numbers together, and all the variables

x-3=0

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

x=3

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