(3x)/(45+3x)=12/21

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Solution for (3x)/(45+3x)=12/21 equation:



(3x)/(45+3x)=12/21
We move all terms to the left:
(3x)/(45+3x)-(12/21)=0
Domain of the equation: (45+3x)!=0
We move all terms containing x to the left, all other terms to the right
3x!=-45
x!=-45/3
x!=-15
x∈R
We add all the numbers together, and all the variables
3x/(3x+45)-(+12/21)=0
We get rid of parentheses
3x/(3x+45)-12/21=0
We calculate fractions
63x/(63x+945)+(-36x-540)/(63x+945)=0
We multiply all the terms by the denominator
63x+(-36x-540)=0
We get rid of parentheses
63x-36x-540=0
We add all the numbers together, and all the variables
27x-540=0
We move all terms containing x to the left, all other terms to the right
27x=540
x=540/27
x=20

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