(3x+6)/(x-2)=5

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Solution for (3x+6)/(x-2)=5 equation: 



(3x+6)/(x-2)=5

We move all terms to the left:

(3x+6)/(x-2)-(5)=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



We multiply all the terms by the denominator


(3x+6)-5*(x-2)=0

We multiply parentheses

(3x+6)-5x+10=0

We get rid of parentheses

3x-5x+6+10=0

We add all the numbers together, and all the variables

-2x+16=0

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

-2x=-16

x=-16/-2

x=+8

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