7-1/3x=2/3x-8

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Solution for 7-1/3x=2/3x-8 equation:



7-1/3x=2/3x-8
We move all terms to the left:
7-1/3x-(2/3x-8)=0
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
Domain of the equation: 3x-8)!=0
x∈R
We get rid of parentheses
-1/3x-2/3x+8+7=0
We multiply all the terms by the denominator
8*3x+7*3x-1-2=0
We add all the numbers together, and all the variables
8*3x+7*3x-3=0
Wy multiply elements
24x+21x-3=0
We add all the numbers together, and all the variables
45x-3=0
We move all terms containing x to the left, all other terms to the right
45x=3
x=3/45
x=1/15

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