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10x-2/3=19/3+3x
We move all terms to the left:
10x-2/3-(19/3+3x)=0
Domain of the equation: 3+3x)!=0We add all the numbers together, and all the variables
We move all terms containing x to the left, all other terms to the right
3x)!=-3
x!=-3/1
x!=-3
x∈R
10x-(+3x+19/3)-2/3=0
We get rid of parentheses
10x-3x-19/3-2/3=0
We multiply all the terms by the denominator
10x*3-3x*3-19-2=0
We add all the numbers together, and all the variables
10x*3-3x*3-21=0
Wy multiply elements
30x-9x-21=0
We add all the numbers together, and all the variables
21x-21=0
We move all terms containing x to the left, all other terms to the right
21x=21
x=21/21
x=1
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