X(3x-2)=(3x+8)(x-3)

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Solution for X(3x-2)=(3x+8)(x-3) equation: 



X(3X-2)=(3X+8)(X-3)

We move all terms to the left:

X(3X-2)-((3X+8)(X-3))=0

We multiply parentheses

3X^2-2X-((3X+8)(X-3))=0

We multiply parentheses ..

3X^2-((+3X^2-9X+8X-24))-2X=0



We calculate terms in parentheses: -((+3X^2-9X+8X-24)), so:

(+3X^2-9X+8X-24)

We get rid of parentheses

3X^2-9X+8X-24

We add all the numbers together, and all the variables

3X^2-1X-24

Back to the equation:

-(3X^2-1X-24)



We add all the numbers together, and all the variables

3X^2-2X-(3X^2-1X-24)=0

We get rid of parentheses

3X^2-3X^2-2X+1X+24=0

We add all the numbers together, and all the variables

-1X+24=0

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

-X=-24

X=-24/-1

X=+24

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