1/(12-8x)=2/3(6x)

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Solution for 1/(12-8x)=2/3(6x) equation:



1/(12-8x)=2/3(6x)
We move all terms to the left:
1/(12-8x)-(2/3(6x))=0
Domain of the equation: (12-8x)!=0
We move all terms containing x to the left, all other terms to the right
-8x!=-12
x!=-12/-8
x!=1+1/2
x∈R
Domain of the equation: 36x)!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
1/(-8x+12)-(+2/36x)=0
We get rid of parentheses
1/(-8x+12)-2/36x=0
We calculate fractions
36x/(-288x^2+432x)+(16x-24)/(-288x^2+432x)=0
We multiply all the terms by the denominator
36x+(16x-24)=0
We get rid of parentheses
36x+16x-24=0
We add all the numbers together, and all the variables
52x-24=0
We move all terms containing x to the left, all other terms to the right
52x=24
x=24/52
x=6/13

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