(x+2)/(x-3)=12

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Solution for (x+2)/(x-3)=12 equation:



(x+2)/(x-3)=12
We move all terms to the left:
(x+2)/(x-3)-(12)=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)-12*(x-3)=0
We multiply parentheses
(x+2)-12x+36=0
We get rid of parentheses
x-12x+2+36=0
We add all the numbers together, and all the variables
-11x+38=0
We move all terms containing x to the left, all other terms to the right
-11x=-38
x=-38/-11
x=3+5/11

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