5x-1/2(4-3x)=3/2-(2x+3)

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Solution for 5x-1/2(4-3x)=3/2-(2x+3) equation: 



5x-1/2(4-3x)=3/2-(2x+3)

We move all terms to the left:

5x-1/2(4-3x)-(3/2-(2x+3))=0



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

x∈R





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

We move all terms containing x to the left, all other terms to the right

-(2x+3))!=-2

x∈R



We add all the numbers together, and all the variables

5x-1/2(-3x+4)-(3/2-(2x+3))=0

We calculate fractions


5x+(-(2x+3))-12x-(2x+3))+16)+(-6x0/(-12x-(2x+3))+16)-1*2)/(=0



We calculate terms in parentheses: +(-(2x+3)), so:

-(2x+3)

We get rid of parentheses

-2x-3

Back to the equation:

+(-2x-3)



We add all the numbers together, and all the variables

-19x+(-2x-3)-(2x+3))+16)+(-6x0/(-(2x+3))+16)-1*2)/(=0

We get rid of parentheses

-19x-2x-(2x+3))+16)+(-6x0/(-(2x+3))+16)-1*2)/(-3=0

We calculate fractions


-19x-2x+(-(2x+3))-6x0*(-3)/()+(-(2x+3))+16)+(+16)-1*2)*()/()=0



We calculate terms in parentheses: +(-(2x+3)), so:

-(2x+3)

We get rid of parentheses

-2x-3

Back to the equation:

+(-2x-3)





We calculate terms in parentheses: +(-(2x+3)), so:

-(2x+3)

We get rid of parentheses

-2x-3

Back to the equation:

+(-2x-3)



We add all the numbers together, and all the variables

-19x-2x+(-2x-3)-6x0*(-3)/()+(-2x-3)+16)+16-1*2)*()/()=0

We add all the numbers together, and all the variables

-21x+(-2x-3)-6x0*(-3)/()+(-2x-3)+16)+16-1*2)*()/()=0

We get rid of parentheses

-21x-2x-6x0*(-3)/()-2x-3-3+16)+16-1*2)*()/()=0

We multiply all the terms by the denominator


-21x*()-2x*()-6x0*(-3)-2x*()-3*()-3*()+16)+16-1*2)*()=0

We add all the numbers together, and all the variables

-21x*()-2x*()-6x0*(-3)-2x*()=0

We multiply parentheses

-21x*()-2x*()+18x-2x*()=0

We add all the numbers together, and all the variables

18x-21x*()-2x*()-2x*()=0

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