x/(x-9)=5/16

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Solution for x/(x-9)=5/16 equation: 



x/(x-9)=5/16

We move all terms to the left:

x/(x-9)-(5/16)=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 add all the numbers together, and all the variables

x/(x-9)-(+5/16)=0

We get rid of parentheses

x/(x-9)-5/16=0

We calculate fractions


16x/(16x-144)+(-5x+45)/(16x-144)=0

We multiply all the terms by the denominator


16x+(-5x+45)=0

We get rid of parentheses

16x-5x+45=0

We add all the numbers together, and all the variables

11x+45=0

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

11x=-45

x=-45/11

x=-4+1/11

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