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

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



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

We move all terms to the left:

3/4(2x+3)-(5/8(x-2))=0



Domain of the equation: 4(2x+3)!=0

x∈R





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

x∈R



We calculate fractions


(24xx/(4(2x+3)*8(x-2)))+(-20x2/(4(2x+3)*8(x-2)))=0



We calculate terms in parentheses: +(24xx/(4(2x+3)*8(x-2))), so:

24xx/(4(2x+3)*8(x-2))

We multiply all the terms by the denominator


24xx

Back to the equation:

+(24xx)





We calculate terms in parentheses: +(-20x2/(4(2x+3)*8(x-2))), so:

-20x2/(4(2x+3)*8(x-2))

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)



We get rid of parentheses

-20x^2+24xx=0

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