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1/3x-5=2/3x+8
We move all terms to the left:
1/3x-5-(2/3x+8)=0
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
Domain of the equation: 3x+8)!=0We get rid of parentheses
x∈R
1/3x-2/3x-8-5=0
We multiply all the terms by the denominator
-8*3x-5*3x+1-2=0
We add all the numbers together, and all the variables
-8*3x-5*3x-1=0
Wy multiply elements
-24x-15x-1=0
We add all the numbers together, and all the variables
-39x-1=0
We move all terms containing x to the left, all other terms to the right
-39x=1
x=1/-39
x=-1/39
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