X(6x-6)=(6x+8)(x-3)

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Solution for X(6x-6)=(6x+8)(x-3) equation:



X(6X-6)=(6X+8)(X-3)
We move all terms to the left:
X(6X-6)-((6X+8)(X-3))=0
We multiply parentheses
6X^2-6X-((6X+8)(X-3))=0
We multiply parentheses ..
6X^2-((+6X^2-18X+8X-24))-6X=0
We calculate terms in parentheses: -((+6X^2-18X+8X-24)), so:
(+6X^2-18X+8X-24)
We get rid of parentheses
6X^2-18X+8X-24
We add all the numbers together, and all the variables
6X^2-10X-24
Back to the equation:
-(6X^2-10X-24)
We add all the numbers together, and all the variables
6X^2-6X-(6X^2-10X-24)=0
We get rid of parentheses
6X^2-6X^2-6X+10X+24=0
We add all the numbers together, and all the variables
4X+24=0
We move all terms containing X to the left, all other terms to the right
4X=-24
X=-24/4
X=-6

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