(4x-5)(-3x+7)=-2x(9+6x)

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Solution for (4x-5)(-3x+7)=-2x(9+6x) equation:



(4x-5)(-3x+7)=-2x(9+6x)
We move all terms to the left:
(4x-5)(-3x+7)-(-2x(9+6x))=0
We add all the numbers together, and all the variables
(4x-5)(-3x+7)-(-2x(6x+9))=0
We multiply parentheses ..
(-12x^2+28x+15x-35)-(-2x(6x+9))=0
We calculate terms in parentheses: -(-2x(6x+9)), so:
-2x(6x+9)
We multiply parentheses
-12x^2-18x
Back to the equation:
-(-12x^2-18x)
We get rid of parentheses
-12x^2+12x^2+28x+15x+18x-35=0
We add all the numbers together, and all the variables
61x-35=0
We move all terms containing x to the left, all other terms to the right
61x=35
x=35/61
x=35/61

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