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12-1/3x=2/3x+5
We move all terms to the left:
12-1/3x-(2/3x+5)=0
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
Domain of the equation: 3x+5)!=0We get rid of parentheses
x∈R
-1/3x-2/3x-5+12=0
We multiply all the terms by the denominator
-5*3x+12*3x-1-2=0
We add all the numbers together, and all the variables
-5*3x+12*3x-3=0
Wy multiply elements
-15x+36x-3=0
We add all the numbers together, and all the variables
21x-3=0
We move all terms containing x to the left, all other terms to the right
21x=3
x=3/21
x=1/7
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