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

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



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

We move all terms to the left:

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



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

x∈R





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

x∈R



We calculate fractions


(3xx/(4(x-3)*3(x+2)))+(-8xx/(4(x-3)*3(x+2)))=0



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

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

We multiply all the terms by the denominator


3xx

Back to the equation:

+(3xx)





We calculate terms in parentheses: +(-8xx/(4(x-3)*3(x+2))), so:

-8xx/(4(x-3)*3(x+2))

We multiply all the terms by the denominator


-8xx

Back to the equation:

+(-8xx)



We get rid of parentheses

3xx-8xx=0

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