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

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



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

We move all terms to the left:

(x-2)/(x+2)+6(x-2/x-6)-(1)=0



Domain of the equation: (x+2)!=0

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

x!=-2

x∈R





Domain of the equation: x-6)!=0

x∈R



We multiply parentheses

(x-2)/(x+2)+6x-12x-36-1=0

We multiply all the terms by the denominator


(x-2)+6x*(x+2)-12x*(x+2)-36*(x+2)-1*(x+2)=0

We multiply parentheses

6x^2-12x^2+(x-2)+12x-24x-36x-1*(x+2)-72=0

We get rid of parentheses

6x^2-12x^2+x+12x-24x-36x-1*(x+2)-2-72=0

We add all the numbers together, and all the variables

-6x^2-47x-1*(x+2)-74=0

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

-6x^2-47x-1*(x+2)=74

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