(2x+3)/(3x+2)=9/7

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Solution for (2x+3)/(3x+2)=9/7 equation:



(2x+3)/(3x+2)=9/7
We move all terms to the left:
(2x+3)/(3x+2)-(9/7)=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+3)/(3x+2)-(+9/7)=0
We get rid of parentheses
(2x+3)/(3x+2)-9/7=0
We calculate fractions
(14x+21)/(21x+14)+(-27x-18)/(21x+14)=0
We multiply all the terms by the denominator
(14x+21)+(-27x-18)=0
We get rid of parentheses
14x-27x+21-18=0
We add all the numbers together, and all the variables
-13x+3=0
We move all terms containing x to the left, all other terms to the right
-13x=-3
x=-3/-13
x=3/13

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