2=1/(3x-8)

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



2=1/(3x-8)
We move all terms to the left:
2-(1/(3x-8))=0
Domain of the equation: (3x-8))!=0
x∈R
We multiply all the terms by the denominator
-(1+2*(3x-8))=0
We calculate terms in parentheses: -(1+2*(3x-8)), so:
1+2*(3x-8)
determiningTheFunctionDomain 2*(3x-8)+1
We multiply parentheses
6x-16+1
We add all the numbers together, and all the variables
6x-15
Back to the equation:
-(6x-15)
We get rid of parentheses
-6x+15=0
We move all terms containing x to the left, all other terms to the right
-6x=-15
x=-15/-6
x=2+1/2

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