(3x+2)-(2x-7)(3x+2)=(3x+2)(-6-2x)

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



(3x+2)-(2x-7)(3x+2)=(3x+2)(-6-2x)
We move all terms to the left:
(3x+2)-(2x-7)(3x+2)-((3x+2)(-6-2x))=0
We add all the numbers together, and all the variables
(3x+2)-(2x-7)(3x+2)-((3x+2)(-2x-6))=0
We get rid of parentheses
3x-(2x-7)(3x+2)-((3x+2)(-2x-6))+2=0
We multiply parentheses ..
-(+6x^2+4x-21x-14)+3x-((3x+2)(-2x-6))+2=0
We calculate terms in parentheses: -((3x+2)(-2x-6)), so:
(3x+2)(-2x-6)
We multiply parentheses ..
(-6x^2-18x-4x-12)
We get rid of parentheses
-6x^2-18x-4x-12
We add all the numbers together, and all the variables
-6x^2-22x-12
Back to the equation:
-(-6x^2-22x-12)
We get rid of parentheses
-6x^2+6x^2-4x+21x+22x+3x+14+12+2=0
We add all the numbers together, and all the variables
42x+28=0
We move all terms containing x to the left, all other terms to the right
42x=-28
x=-28/42
x=-2/3

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