(x-3)/(x-5)=2/3

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Solution for (x-3)/(x-5)=2/3 equation: 



(x-3)/(x-5)=2/3

We move all terms to the left:

(x-3)/(x-5)-(2/3)=0



Domain of the equation: (x-5)!=0

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

x!=5

x∈R



We add all the numbers together, and all the variables

(x-3)/(x-5)-(+2/3)=0

We get rid of parentheses

(x-3)/(x-5)-2/3=0

We calculate fractions


(3x-9)/(3x-15)+(-2x+10)/(3x-15)=0

We multiply all the terms by the denominator


(3x-9)+(-2x+10)=0

We get rid of parentheses

3x-2x-9+10=0

We add all the numbers together, and all the variables

x+1=0

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

x=-1

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