(x-4)/x=5/2

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Solution for (x-4)/x=5/2 equation: 



(x-4)/x=5/2

We move all terms to the left:

(x-4)/x-(5/2)=0



Domain of the equation: x!=0

x∈R



We add all the numbers together, and all the variables

(x-4)/x-(+5/2)=0

We get rid of parentheses

(x-4)/x-5/2=0

We calculate fractions


(2x-8)/2x+(-5x)/2x=0

We multiply all the terms by the denominator


(2x-8)+(-5x)=0

We get rid of parentheses

2x-5x-8=0

We add all the numbers together, and all the variables

-3x-8=0

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

-3x=8

x=8/-3

x=-2+2/3

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