(2(x-4))/x=6

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Solution for (2(x-4))/x=6 equation: 



(2(x-4))/x=6

We move all terms to the left:

(2(x-4))/x-(6)=0



Domain of the equation: x!=0

x∈R



We multiply all the terms by the denominator


(2(x-4))-6*x=0



We calculate terms in parentheses: +(2(x-4)), so:

2(x-4)

We multiply parentheses

2x-8

Back to the equation:

+(2x-8)



We add all the numbers together, and all the variables

-6x+(2x-8)=0

We get rid of parentheses

-6x+2x-8=0

We add all the numbers together, and all the variables

-4x-8=0

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

-4x=8

x=8/-4

x=-2

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