(x-5)/x=4/9

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Solution for (x-5)/x=4/9 equation: 



(x-5)/x=4/9

We move all terms to the left:

(x-5)/x-(4/9)=0



Domain of the equation: x!=0

x∈R



We add all the numbers together, and all the variables

(x-5)/x-(+4/9)=0

We get rid of parentheses

(x-5)/x-4/9=0

We calculate fractions


(9x-45)/9x+(-4x)/9x=0

We multiply all the terms by the denominator


(9x-45)+(-4x)=0

We get rid of parentheses

9x-4x-45=0

We add all the numbers together, and all the variables

5x-45=0

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

5x=45

x=45/5

x=9

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