(x-40)/x=1/6

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Solution for (x-40)/x=1/6 equation: 



(x-40)/x=1/6

We move all terms to the left:

(x-40)/x-(1/6)=0



Domain of the equation: x!=0

x∈R



We add all the numbers together, and all the variables

(x-40)/x-(+1/6)=0

We get rid of parentheses

(x-40)/x-1/6=0

We calculate fractions


(6x-240)/6x+(-x)/6x=0

We add all the numbers together, and all the variables

(6x-240)/6x+(-1x)/6x=0

We multiply all the terms by the denominator


(6x-240)+(-1x)=0

We get rid of parentheses

6x-1x-240=0

We add all the numbers together, and all the variables

5x-240=0

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

5x=240

x=240/5

x=48

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