3/4(2x-8)+5/3x=3(2x-8)-2(2x-8)

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Solution for 3/4(2x-8)+5/3x=3(2x-8)-2(2x-8) equation:



3/4(2x-8)+5/3x=3(2x-8)-2(2x-8)
We move all terms to the left:
3/4(2x-8)+5/3x-(3(2x-8)-2(2x-8))=0
Domain of the equation: 4(2x-8)!=0
x∈R
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
We calculate fractions
-(3(2x-8)-2(2x-8))+9x/(24x^2-96x)+(20x2/(24x^2-96x)=0
We calculate terms in parentheses: -(3(2x-8)-2(2x-8)), so:
3(2x-8)-2(2x-8)
We multiply parentheses
6x-4x-24+16
We add all the numbers together, and all the variables
2x-8
Back to the equation:
-(2x-8)
We calculate terms in parentheses: +(20x2/(24x^2-96x), so:
20x2/(24x^2-96x
We multiply all the terms by the denominator
20x2
We add all the numbers together, and all the variables
20x^2
Back to the equation:
+(20x^2)
determiningTheFunctionDomain 20x^2-(2x-8)+9x/(24x^2-96x)=0
We get rid of parentheses
20x^2-2x+9x/(24x^2-96x)+8=0
We multiply all the terms by the denominator
20x^2*(24x^2-96x)-2x*(24x^2-96x)+9x+8*(24x^2-96x)=0
We add all the numbers together, and all the variables
20x^2*(24x^2-96x)+9x-2x*(24x^2-96x)+8*(24x^2-96x)=0
We multiply parentheses
20x^2*(24x^2-96x)-48x^3+192x^2+192x^2+9x-768x=0
We do not support expression: x^3

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