(3x-9)/(5x-9)=12/23

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Solution for (3x-9)/(5x-9)=12/23 equation:



(3x-9)/(5x-9)=12/23
We move all terms to the left:
(3x-9)/(5x-9)-(12/23)=0
Domain of the equation: (5x-9)!=0
We move all terms containing x to the left, all other terms to the right
5x!=9
x!=9/5
x!=1+4/5
x∈R
We add all the numbers together, and all the variables
(3x-9)/(5x-9)-(+12/23)=0
We get rid of parentheses
(3x-9)/(5x-9)-12/23=0
We calculate fractions
(69x-207)/(115x-207)+(-60x+108)/(115x-207)=0
We multiply all the terms by the denominator
(69x-207)+(-60x+108)=0
We get rid of parentheses
69x-60x-207+108=0
We add all the numbers together, and all the variables
9x-99=0
We move all terms containing x to the left, all other terms to the right
9x=99
x=99/9
x=11

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