(x-9)/(x-5)=5/7.

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Solution for (x-9)/(x-5)=5/7. equation: 



(x-9)/(x-5)=5/7.

We move all terms to the left:

(x-9)/(x-5)-(5/7.)=0



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

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

x!=5

x∈R



We add all the numbers together, and all the variables

(x-9)/(x-5)-(+5/7.)=0

We get rid of parentheses

(x-9)/(x-5)-5/7.=0

We calculate fractions


(7x-63)/(7x-35)+(-5x+25)/(7x-35)=0

We multiply all the terms by the denominator


(7x-63)+(-5x+25)=0

We get rid of parentheses

7x-5x-63+25=0

We add all the numbers together, and all the variables

2x-38=0

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

2x=38

x=38/2

x=19

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