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(X+3)/(X-1)=9
We move all terms to the left:
(X+3)/(X-1)-(9)=0
Domain of the equation: (X-1)!=0We multiply all the terms by the denominator
We move all terms containing X to the left, all other terms to the right
X!=1
X∈R
(X+3)-9*(X-1)=0
We multiply parentheses
(X+3)-9X+9=0
We get rid of parentheses
X-9X+3+9=0
We add all the numbers together, and all the variables
-8X+12=0
We move all terms containing X to the left, all other terms to the right
-8X=-12
X=-12/-8
X=1+1/2
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