(a)/(a-10)=(6)/(9)

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Solution for (a)/(a-10)=(6)/(9) equation: 



(a)/(a-10)=(6)/(9)

We move all terms to the left:

(a)/(a-10)-((6)/(9))=0



Domain of the equation: (a-10)!=0

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

a!=10

a∈R



We add all the numbers together, and all the variables

a/(a-10)-(+6/9)=0

We get rid of parentheses

a/(a-10)-6/9=0

We calculate fractions


9a/(9a-90)+(-6a+60)/(9a-90)=0

We multiply all the terms by the denominator


9a+(-6a+60)=0

We get rid of parentheses

9a-6a+60=0

We add all the numbers together, and all the variables

3a+60=0

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

3a=-60

a=-60/3

a=-20

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