2/3x+6=1/3x-3

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Solution for 2/3x+6=1/3x-3 equation:



2/3x+6=1/3x-3
We move all terms to the left:
2/3x+6-(1/3x-3)=0
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
Domain of the equation: 3x-3)!=0
x∈R
We get rid of parentheses
2/3x-1/3x+3+6=0
We multiply all the terms by the denominator
3*3x+6*3x+2-1=0
We add all the numbers together, and all the variables
3*3x+6*3x+1=0
Wy multiply elements
9x+18x+1=0
We add all the numbers together, and all the variables
27x+1=0
We move all terms containing x to the left, all other terms to the right
27x=-1
x=-1/27
x=-1/27

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