3/4(x+4)=5/24(3-4x)

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Solution for 3/4(x+4)=5/24(3-4x) equation: 



3/4(x+4)=5/24(3-4x)

We move all terms to the left:

3/4(x+4)-(5/24(3-4x))=0



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

x∈R





Domain of the equation: 24(3-4x))!=0

x∈R



We add all the numbers together, and all the variables

3/4(x+4)-(5/24(-4x+3))=0

We calculate fractions


(72x(-)/(4(x+4)*24(-4x+3)))+(-20xx/(4(x+4)*24(-4x+3)))=0



We calculate terms in parentheses: +(72x(-)/(4(x+4)*24(-4x+3))), so:

72x(-)/(4(x+4)*24(-4x+3))

We add all the numbers together, and all the variables

72x0/(4(x+4)*24(-4x+3))

We multiply all the terms by the denominator


72x0

We add all the numbers together, and all the variables

72x

Back to the equation:

+(72x)





We calculate terms in parentheses: +(-20xx/(4(x+4)*24(-4x+3))), so:

-20xx/(4(x+4)*24(-4x+3))

We multiply all the terms by the denominator


-20xx

Back to the equation:

+(-20xx)



We get rid of parentheses

72x-20xx=0

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