9/2(3-x)=3/4(x-3)

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Solution for 9/2(3-x)=3/4(x-3) equation: 



9/2(3-x)=3/4(x-3)

We move all terms to the left:

9/2(3-x)-(3/4(x-3))=0



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

x∈R





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

x∈R



We add all the numbers together, and all the variables

9/2(-1x+3)-(3/4(x-3))=0

We calculate fractions


(36xx/(2(-1x+3)*4(x-3)))+(-6x0/(2(-1x+3)*4(x-3)))=0



We calculate terms in parentheses: +(36xx/(2(-1x+3)*4(x-3))), so:

36xx/(2(-1x+3)*4(x-3))

We multiply all the terms by the denominator


36xx

Back to the equation:

+(36xx)





We calculate terms in parentheses: +(-6x0/(2(-1x+3)*4(x-3))), so:

-6x0/(2(-1x+3)*4(x-3))

We multiply all the terms by the denominator


-6x0

We add all the numbers together, and all the variables

-6x

Back to the equation:

+(-6x)



We get rid of parentheses

36xx-6x=0

We add all the numbers together, and all the variables

-6x+36xx=0

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