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(1)/(3)x-4=(5)/(3)x+8
We move all terms to the left:
(1)/(3)x-4-((5)/(3)x+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-5/3x-8-4=0
We multiply all the terms by the denominator
-8*3x-4*3x+1-5=0
We add all the numbers together, and all the variables
-8*3x-4*3x-4=0
Wy multiply elements
-24x-12x-4=0
We add all the numbers together, and all the variables
-36x-4=0
We move all terms containing x to the left, all other terms to the right
-36x=4
x=4/-36
x=-1/9
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