(X-3)/(x-5)=11/15

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Solution for (X-3)/(x-5)=11/15 equation: 



(X-3)/(X-5)=11/15

We move all terms to the left:

(X-3)/(X-5)-(11/15)=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)-(+11/15)=0

We get rid of parentheses

(X-3)/(X-5)-11/15=0

We calculate fractions


(15X-45)/(15X-75)+(-11X+55)/(15X-75)=0

We multiply all the terms by the denominator


(15X-45)+(-11X+55)=0

We get rid of parentheses

15X-11X-45+55=0

We add all the numbers together, and all the variables

4X+10=0

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

4X=-10

X=-10/4

X=-2+1/2

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