(x-5)/(x+3)=4/11

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Solution for (x-5)/(x+3)=4/11 equation: 



(x-5)/(x+3)=4/11

We move all terms to the left:

(x-5)/(x+3)-(4/11)=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-5)/(x+3)-(+4/11)=0

We get rid of parentheses

(x-5)/(x+3)-4/11=0

We calculate fractions


(11x-55)/(11x+33)+(-4x-12)/(11x+33)=0

We multiply all the terms by the denominator


(11x-55)+(-4x-12)=0

We get rid of parentheses

11x-4x-55-12=0

We add all the numbers together, and all the variables

7x-67=0

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

7x=67

x=67/7

x=9+4/7

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