3/4(x+14)=2/3(20-x)

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Solution for 3/4(x+14)=2/3(20-x) equation: 



3/4(x+14)=2/3(20-x)

We move all terms to the left:

3/4(x+14)-(2/3(20-x))=0



Domain of the equation: 4(x+14)!=0

x∈R





Domain of the equation: 3(20-x))!=0

x∈R



We add all the numbers together, and all the variables

3/4(x+14)-(2/3(-1x+20))=0

We calculate fractions


(9x(-)/(4(x+14)*3(-1x+20)))+(-8xx/(4(x+14)*3(-1x+20)))=0



We calculate terms in parentheses: +(9x(-)/(4(x+14)*3(-1x+20))), so:

9x(-)/(4(x+14)*3(-1x+20))

We add all the numbers together, and all the variables

9x0/(4(x+14)*3(-1x+20))

We multiply all the terms by the denominator


9x0

We add all the numbers together, and all the variables

9x

Back to the equation:

+(9x)





We calculate terms in parentheses: +(-8xx/(4(x+14)*3(-1x+20))), so:

-8xx/(4(x+14)*3(-1x+20))

We multiply all the terms by the denominator


-8xx

Back to the equation:

+(-8xx)



We get rid of parentheses

9x-8xx=0

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