(2(x-4))/(x-1)=8

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Solution for (2(x-4))/(x-1)=8 equation: 



(2(x-4))/(x-1)=8

We move all terms to the left:

(2(x-4))/(x-1)-(8)=0



Domain of the equation: (x-1)!=0

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

x!=1

x∈R



We multiply all the terms by the denominator


(2(x-4))-8*(x-1)=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 multiply parentheses

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

We get rid of parentheses

2x-8x-8+8=0

We add all the numbers together, and all the variables

-6x=0

x=0/-6

x=0

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