(12+w)/(33+w)=5/12

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Solution for (12+w)/(33+w)=5/12 equation: 



(12+w)/(33+w)=5/12

We move all terms to the left:

(12+w)/(33+w)-(5/12)=0



Domain of the equation: (33+w)!=0

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

w!=-33

w∈R



We add all the numbers together, and all the variables

(w+12)/(w+33)-(+5/12)=0

We get rid of parentheses

(w+12)/(w+33)-5/12=0

We calculate fractions


(12w+144)/(12w+396)+(-5w-165)/(12w+396)=0

We multiply all the terms by the denominator


(12w+144)+(-5w-165)=0

We get rid of parentheses

12w-5w+144-165=0

We add all the numbers together, and all the variables

7w-21=0

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

7w=21

w=21/7

w=3

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