(2x-6)/(x-1)=7

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Solution for (2x-6)/(x-1)=7 equation: 



(2x-6)/(x-1)=7

We move all terms to the left:

(2x-6)/(x-1)-(7)=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


(2x-6)-7*(x-1)=0

We multiply parentheses

(2x-6)-7x+7=0

We get rid of parentheses

2x-7x-6+7=0

We add all the numbers together, and all the variables

-5x+1=0

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

-5x=-1

x=-1/-5

x=1/5

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