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

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



(x-3)/(2x+1)=4
We move all terms to the left:
(x-3)/(2x+1)-(4)=0
Domain of the equation: (2x+1)!=0
We move all terms containing x to the left, all other terms to the right
2x!=-1
x!=-1/2
x!=-1/2
x∈R
We multiply all the terms by the denominator
(x-3)-4*(2x+1)=0
We multiply parentheses
(x-3)-8x-4=0
We get rid of parentheses
x-8x-3-4=0
We add all the numbers together, and all the variables
-7x-7=0
We move all terms containing x to the left, all other terms to the right
-7x=7
x=7/-7
x=-1

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