6/(x-9)=5

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Solution for 6/(x-9)=5 equation: 



6/(x-9)=5

We move all terms to the left:

6/(x-9)-(5)=0



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

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

x!=9

x∈R



We multiply all the terms by the denominator


-5*(x-9)+6=0

We multiply parentheses

-5x+45+6=0

We add all the numbers together, and all the variables

-5x+51=0

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

-5x=-51

x=-51/-5

x=10+1/5

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