1/2(2x-3)=1/3(x+4)

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Solution for 1/2(2x-3)=1/3(x+4) equation: 



1/2(2x-3)=1/3(x+4)

We move all terms to the left:

1/2(2x-3)-(1/3(x+4))=0



Domain of the equation: 2(2x-3)!=0

x∈R





Domain of the equation: 3(x+4))!=0

x∈R



We calculate fractions


(3xx/(2(2x-3)*3(x+4)))+(-2x2/(2(2x-3)*3(x+4)))=0



We calculate terms in parentheses: +(3xx/(2(2x-3)*3(x+4))), so:

3xx/(2(2x-3)*3(x+4))

We multiply all the terms by the denominator


3xx

Back to the equation:

+(3xx)





We calculate terms in parentheses: +(-2x2/(2(2x-3)*3(x+4))), so:

-2x2/(2(2x-3)*3(x+4))

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+3xx=0

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