(x+5)/15=(x+2)/(x+6)

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Solution for (x+5)/15=(x+2)/(x+6) equation: 



(x+5)/15=(x+2)/(x+6)

We move all terms to the left:

(x+5)/15-((x+2)/(x+6))=0



Domain of the equation: (x+6))!=0

x∈R



We calculate fractions


((x+5)*(x+6)))/15x+(-((x+2)*15)/15x=0

We calculate fractions


(((x+5)*(x+6)))*15x)/(15x+(*15x)+(-((x+2)*15)*15x)/(15x+(*15x)=0



We calculate terms in parentheses: +(-((x+2)*15)*15x)/(15x+(*15x), so:

-((x+2)*15)*15x)/(15x+(*15x

We multiply all the terms by the denominator


-((x+2)*15)*15x)+((*15x)*(15x

We add all the numbers together, and all the variables

-((x+2)*15)*15x)+((+*15x)*(15x

Back to the equation:

+(-((x+2)*15)*15x)+((+*15x)*(15x)



We add all the numbers together, and all the variables

(((x+5)*(x+6)))*15x)/(15x+(+*15x)+(-((x+2)*15)*15x)+((+*15x)*15x=0

We get rid of parentheses

(((x+5)*(x+6)))*15x)/(15x+*15x+(-((x+2)*15)*15x)+((+*15x)*15x=0

We multiply all the terms by the denominator


(((x+5)*(x+6)))*15x)+(*15x)*(15x+((-((x+2)*15)*15x))*(15x+(((+*15x)*15x)*(15x=0

We add all the numbers together, and all the variables

(((x+5)*(x+6)))*15x)+(+*15x)*(15x+((-((x+2)*15)*15x))*(15x+(((+*15x)*15x)*(15x=0

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