(2x+1)/(x-3)=4

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Solution for (2x+1)/(x-3)=4 equation:



(2x+1)/(x-3)=4
We move all terms to the left:
(2x+1)/(x-3)-(4)=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)-4*(x-3)=0
We multiply parentheses
(2x+1)-4x+12=0
We get rid of parentheses
2x-4x+1+12=0
We add all the numbers together, and all the variables
-2x+13=0
We move all terms containing x to the left, all other terms to the right
-2x=-13
x=-13/-2
x=6+1/2

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