(2x+1)/(x-3)=9

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Solution for (2x+1)/(x-3)=9 equation:



(2x+1)/(x-3)=9
We move all terms to the left:
(2x+1)/(x-3)-(9)=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
(2x+1)-9*(x-3)=0
We multiply parentheses
(2x+1)-9x+27=0
We get rid of parentheses
2x-9x+1+27=0
We add all the numbers together, and all the variables
-7x+28=0
We move all terms containing x to the left, all other terms to the right
-7x=-28
x=-28/-7
x=+4

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