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

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



(X-2)/(X-3)=3/2

We move all terms to the left:

(X-2)/(X-3)-(3/2)=0



Domain of the equation: (X-3)!=0

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

X!=3

X∈R



We add all the numbers together, and all the variables

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

We get rid of parentheses

(X-2)/(X-3)-3/2=0

We calculate fractions


(2X-4)/(2X-6)+(-3X+9)/(2X-6)=0

We multiply all the terms by the denominator


(2X-4)+(-3X+9)=0

We get rid of parentheses

2X-3X-4+9=0

We add all the numbers together, and all the variables

-1X+5=0

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

-X=-5

X=-5/-1

X=+5

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