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

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



(x-6)/(2x+2)=-3
We move all terms to the left:
(x-6)/(2x+2)-(-3)=0
Domain of the equation: (2x+2)!=0
We move all terms containing x to the left, all other terms to the right
2x!=-2
x!=-2/2
x!=-1
x∈R
We add all the numbers together, and all the variables
(x-6)/(2x+2)+3=0
We multiply all the terms by the denominator
(x-6)+3*(2x+2)=0
We multiply parentheses
(x-6)+6x+6=0
We get rid of parentheses
x+6x-6+6=0
We add all the numbers together, and all the variables
7x=0
x=0/7
x=0

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