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

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



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

We move all terms to the left:

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



Domain of the equation: (x+3)!=0

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

x!=-3

x∈R



We add all the numbers together, and all the variables

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

We get rid of parentheses

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

We calculate fractions


(6x-12)/(6x+18)+(-5x-15)/(6x+18)=0

We multiply all the terms by the denominator


(6x-12)+(-5x-15)=0

We get rid of parentheses

6x-5x-12-15=0

We add all the numbers together, and all the variables

x-27=0

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

x=27

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