1/3(x+6)=2/5(x-9)

Solution for 1/3(x+6)=2/5(x-9) equation:

1/3(x+6)=2/5(x-9)

We move all terms to the left:

1/3(x+6)-(2/5(x-9))=0


Domain of the equation: 3(x+6)!=0

x∈R



Domain of the equation: 5(x-9))!=0

x∈R


We calculate fractions


(5xx/(3(x+6)*5(x-9)))+(-6xx/(3(x+6)*5(x-9)))=0


We calculate terms in parentheses: +(5xx/(3(x+6)*5(x-9))), so:

5xx/(3(x+6)*5(x-9))

We multiply all the terms by the denominator


5xx

Back to the equation:

+(5xx)



We calculate terms in parentheses: +(-6xx/(3(x+6)*5(x-9))), so:

-6xx/(3(x+6)*5(x-9))

We multiply all the terms by the denominator


-6xx

Back to the equation:

+(-6xx)


We get rid of parentheses

5xx-6xx=0