3(x-4)(x+2)=2(x^2+2x+2)+x(x-3)

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


Simplifying
3(x + -4)(x + 2) = 2(x2 + 2x + 2) + x(x + -3)

Reorder the terms:
3(-4 + x)(x + 2) = 2(x2 + 2x + 2) + x(x + -3)

Reorder the terms:
3(-4 + x)(2 + x) = 2(x2 + 2x + 2) + x(x + -3)

Multiply (-4 + x) * (2 + x)
3(-4(2 + x) + x(2 + x)) = 2(x2 + 2x + 2) + x(x + -3)
3((2 * -4 + x * -4) + x(2 + x)) = 2(x2 + 2x + 2) + x(x + -3)
3((-8 + -4x) + x(2 + x)) = 2(x2 + 2x + 2) + x(x + -3)
3(-8 + -4x + (2 * x + x * x)) = 2(x2 + 2x + 2) + x(x + -3)
3(-8 + -4x + (2x + x2)) = 2(x2 + 2x + 2) + x(x + -3)

Combine like terms: -4x + 2x = -2x
3(-8 + -2x + x2) = 2(x2 + 2x + 2) + x(x + -3)
(-8 * 3 + -2x * 3 + x2 * 3) = 2(x2 + 2x + 2) + x(x + -3)
(-24 + -6x + 3x2) = 2(x2 + 2x + 2) + x(x + -3)

Reorder the terms:
-24 + -6x + 3x2 = 2(2 + 2x + x2) + x(x + -3)
-24 + -6x + 3x2 = (2 * 2 + 2x * 2 + x2 * 2) + x(x + -3)
-24 + -6x + 3x2 = (4 + 4x + 2x2) + x(x + -3)

Reorder the terms:
-24 + -6x + 3x2 = 4 + 4x + 2x2 + x(-3 + x)
-24 + -6x + 3x2 = 4 + 4x + 2x2 + (-3 * x + x * x)
-24 + -6x + 3x2 = 4 + 4x + 2x2 + (-3x + x2)

Reorder the terms:
-24 + -6x + 3x2 = 4 + 4x + -3x + 2x2 + x2

Combine like terms: 4x + -3x = 1x
-24 + -6x + 3x2 = 4 + 1x + 2x2 + x2

Combine like terms: 2x2 + x2 = 3x2
-24 + -6x + 3x2 = 4 + 1x + 3x2

Add '-3x2' to each side of the equation.
-24 + -6x + 3x2 + -3x2 = 4 + 1x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-24 + -6x + 0 = 4 + 1x + 3x2 + -3x2
-24 + -6x = 4 + 1x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-24 + -6x = 4 + 1x + 0
-24 + -6x = 4 + 1x

Solving
-24 + -6x = 4 + 1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
-24 + -6x + -1x = 4 + 1x + -1x

Combine like terms: -6x + -1x = -7x
-24 + -7x = 4 + 1x + -1x

Combine like terms: 1x + -1x = 0
-24 + -7x = 4 + 0
-24 + -7x = 4

Add '24' to each side of the equation.
-24 + 24 + -7x = 4 + 24

Combine like terms: -24 + 24 = 0
0 + -7x = 4 + 24
-7x = 4 + 24

Combine like terms: 4 + 24 = 28
-7x = 28

Divide each side by '-7'.
x = -4

Simplifying
x = -4

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