(x-2)/(x+3)=4

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Solution for (x-2)/(x+3)=4 equation: 



(x-2)/(x+3)=4

We move all terms to the left:

(x-2)/(x+3)-(4)=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 multiply all the terms by the denominator


(x-2)-4*(x+3)=0

We multiply parentheses

(x-2)-4x-12=0

We get rid of parentheses

x-4x-2-12=0

We add all the numbers together, and all the variables

-3x-14=0

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

-3x=14

x=14/-3

x=-4+2/3

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