(x-1)/(x+2)=3

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Solution for (x-1)/(x+2)=3 equation:



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

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