(X-3)/(2-x)=3

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



(X-3)/(2-X)=3
We move all terms to the left:
(X-3)/(2-X)-(3)=0
Domain of the equation: (2-X)!=0
We move all terms containing X to the left, all other terms to the right
-X!=-2
X!=-2/-1
X!=+2
X∈R
We add all the numbers together, and all the variables
(X-3)/(-1X+2)-3=0
We multiply all the terms by the denominator
(X-3)-3*(-1X+2)=0
We multiply parentheses
(X-3)+3X-6=0
We get rid of parentheses
X+3X-3-6=0
We add all the numbers together, and all the variables
4X-9=0
We move all terms containing X to the left, all other terms to the right
4X=9
X=9/4
X=2+1/4

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