2(x-4)(x+2)-5x=2x^2-3(x+4)

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Solution for 2(x-4)(x+2)-5x=2x^2-3(x+4) equation: 


Simplifying
2(x + -4)(x + 2) + -5x = 2x2 + -3(x + 4)

Reorder the terms:
2(-4 + x)(x + 2) + -5x = 2x2 + -3(x + 4)

Reorder the terms:
2(-4 + x)(2 + x) + -5x = 2x2 + -3(x + 4)

Multiply (-4 + x) * (2 + x)
2(-4(2 + x) + x(2 + x)) + -5x = 2x2 + -3(x + 4)
2((2 * -4 + x * -4) + x(2 + x)) + -5x = 2x2 + -3(x + 4)
2((-8 + -4x) + x(2 + x)) + -5x = 2x2 + -3(x + 4)
2(-8 + -4x + (2 * x + x * x)) + -5x = 2x2 + -3(x + 4)
2(-8 + -4x + (2x + x2)) + -5x = 2x2 + -3(x + 4)

Combine like terms: -4x + 2x = -2x
2(-8 + -2x + x2) + -5x = 2x2 + -3(x + 4)
(-8 * 2 + -2x * 2 + x2 * 2) + -5x = 2x2 + -3(x + 4)
(-16 + -4x + 2x2) + -5x = 2x2 + -3(x + 4)

Reorder the terms:
-16 + -4x + -5x + 2x2 = 2x2 + -3(x + 4)

Combine like terms: -4x + -5x = -9x
-16 + -9x + 2x2 = 2x2 + -3(x + 4)

Reorder the terms:
-16 + -9x + 2x2 = 2x2 + -3(4 + x)
-16 + -9x + 2x2 = 2x2 + (4 * -3 + x * -3)
-16 + -9x + 2x2 = 2x2 + (-12 + -3x)

Reorder the terms:
-16 + -9x + 2x2 = -12 + -3x + 2x2

Add '-2x2' to each side of the equation.
-16 + -9x + 2x2 + -2x2 = -12 + -3x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-16 + -9x + 0 = -12 + -3x + 2x2 + -2x2
-16 + -9x = -12 + -3x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-16 + -9x = -12 + -3x + 0
-16 + -9x = -12 + -3x

Solving
-16 + -9x = -12 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-16 + -9x + 3x = -12 + -3x + 3x

Combine like terms: -9x + 3x = -6x
-16 + -6x = -12 + -3x + 3x

Combine like terms: -3x + 3x = 0
-16 + -6x = -12 + 0
-16 + -6x = -12

Add '16' to each side of the equation.
-16 + 16 + -6x = -12 + 16

Combine like terms: -16 + 16 = 0
0 + -6x = -12 + 16
-6x = -12 + 16

Combine like terms: -12 + 16 = 4
-6x = 4

Divide each side by '-6'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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