2/3x-6=8-1/3x

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



2/3x-6=8-1/3x
We move all terms to the left:
2/3x-6-(8-1/3x)=0
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
Domain of the equation: 3x)!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
2/3x-(-1/3x+8)-6=0
We get rid of parentheses
2/3x+1/3x-8-6=0
We multiply all the terms by the denominator
-8*3x-6*3x+2+1=0
We add all the numbers together, and all the variables
-8*3x-6*3x+3=0
Wy multiply elements
-24x-18x+3=0
We add all the numbers together, and all the variables
-42x+3=0
We move all terms containing x to the left, all other terms to the right
-42x=-3
x=-3/-42
x=1/14

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