(2x-1)/(3x+2)=2/7

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Solution for (2x-1)/(3x+2)=2/7 equation:



(2x-1)/(3x+2)=2/7
We move all terms to the left:
(2x-1)/(3x+2)-(2/7)=0
Domain of the equation: (3x+2)!=0
We move all terms containing x to the left, all other terms to the right
3x!=-2
x!=-2/3
x!=-2/3
x∈R
We add all the numbers together, and all the variables
(2x-1)/(3x+2)-(+2/7)=0
We get rid of parentheses
(2x-1)/(3x+2)-2/7=0
We calculate fractions
(14x-7)/(21x+14)+(-6x-4)/(21x+14)=0
We multiply all the terms by the denominator
(14x-7)+(-6x-4)=0
We get rid of parentheses
14x-6x-7-4=0
We add all the numbers together, and all the variables
8x-11=0
We move all terms containing x to the left, all other terms to the right
8x=11
x=11/8
x=1+3/8

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