1/2(2x-8)=1/3x

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



1/2(2x-8)=1/3x

We move all terms to the left:

1/2(2x-8)-(1/3x)=0



Domain of the equation: 2(2x-8)!=0

x∈R





Domain of the equation: 3x)!=0

x!=0/1

x!=0

x∈R



We add all the numbers together, and all the variables

1/2(2x-8)-(+1/3x)=0

We get rid of parentheses

1/2(2x-8)-1/3x=0

We calculate fractions


3x/(12x^2-48x)+(-2x2/(12x^2-48x)=0



We calculate terms in parentheses: +(-2x2/(12x^2-48x), so:

-2x2/(12x^2-48x

We multiply all the terms by the denominator


-2x2

We add all the numbers together, and all the variables

-2x^2

Back to the equation:

+(-2x^2)



We get rid of parentheses

-2x^2+3x/(12x^2-48x)=0

We multiply all the terms by the denominator


-2x^2*(12x^2-48x)+3x=0

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