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

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



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