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

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



(2x+3)/(3x-1)=4
We move all terms to the left:
(2x+3)/(3x-1)-(4)=0
Domain of the equation: (3x-1)!=0
We move all terms containing x to the left, all other terms to the right
3x!=1
x!=1/3
x!=1/3
x∈R
We multiply all the terms by the denominator
(2x+3)-4*(3x-1)=0
We multiply parentheses
(2x+3)-12x+4=0
We get rid of parentheses
2x-12x+3+4=0
We add all the numbers together, and all the variables
-10x+7=0
We move all terms containing x to the left, all other terms to the right
-10x=-7
x=-7/-10
x=7/10

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