(x-9)/(x-6)=2/9

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Solution for (x-9)/(x-6)=2/9 equation: 



(x-9)/(x-6)=2/9

We move all terms to the left:

(x-9)/(x-6)-(2/9)=0



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

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

x!=6

x∈R



We add all the numbers together, and all the variables

(x-9)/(x-6)-(+2/9)=0

We get rid of parentheses

(x-9)/(x-6)-2/9=0

We calculate fractions


(9x-81)/(9x-54)+(-2x+12)/(9x-54)=0

We multiply all the terms by the denominator


(9x-81)+(-2x+12)=0

We get rid of parentheses

9x-2x-81+12=0

We add all the numbers together, and all the variables

7x-69=0

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

7x=69

x=69/7

x=9+6/7

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