(3x-1)(2x-3)=-3x(4-2x)

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



(3x-1)(2x-3)=-3x(4-2x)
We move all terms to the left:
(3x-1)(2x-3)-(-3x(4-2x))=0
We add all the numbers together, and all the variables
(3x-1)(2x-3)-(-3x(-2x+4))=0
We multiply parentheses ..
(+6x^2-9x-2x+3)-(-3x(-2x+4))=0
We calculate terms in parentheses: -(-3x(-2x+4)), so:
-3x(-2x+4)
We multiply parentheses
6x^2-12x
Back to the equation:
-(6x^2-12x)
We get rid of parentheses
6x^2-6x^2-9x-2x+12x+3=0
We add all the numbers together, and all the variables
x+3=0
We move all terms containing x to the left, all other terms to the right
x=-3

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