12-(6x+(3x+(x-7)(x+7))-(4x^2+12x+9))=-2x^2+5(x^2+2x+1-3(x+6))

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Solution for 12-(6x+(3x+(x-7)(x+7))-(4x^2+12x+9))=-2x^2+5(x^2+2x+1-3(x+6)) equation: 


Simplifying
12 + -1(6x + (3x + (x + -7)(x + 7)) + -1(4x2 + 12x + 9)) = -2x2 + 5(x2 + 2x + 1 + -3(x + 6))

Reorder the terms:
12 + -1(6x + (3x + (-7 + x)(x + 7)) + -1(4x2 + 12x + 9)) = -2x2 + 5(x2 + 2x + 1 + -3(x + 6))

Reorder the terms:
12 + -1(6x + (3x + (-7 + x)(7 + x)) + -1(4x2 + 12x + 9)) = -2x2 + 5(x2 + 2x + 1 + -3(x + 6))

Multiply (-7 + x) * (7 + x)
12 + -1(6x + (3x + (-7(7 + x) + x(7 + x))) + -1(4x2 + 12x + 9)) = -2x2 + 5(x2 + 2x + 1 + -3(x + 6))
12 + -1(6x + (3x + ((7 * -7 + x * -7) + x(7 + x))) + -1(4x2 + 12x + 9)) = -2x2 + 5(x2 + 2x + 1 + -3(x + 6))
12 + -1(6x + (3x + ((-49 + -7x) + x(7 + x))) + -1(4x2 + 12x + 9)) = -2x2 + 5(x2 + 2x + 1 + -3(x + 6))
12 + -1(6x + (3x + (-49 + -7x + (7 * x + x * x))) + -1(4x2 + 12x + 9)) = -2x2 + 5(x2 + 2x + 1 + -3(x + 6))
12 + -1(6x + (3x + (-49 + -7x + (7x + x2))) + -1(4x2 + 12x + 9)) = -2x2 + 5(x2 + 2x + 1 + -3(x + 6))

Combine like terms: -7x + 7x = 0
12 + -1(6x + (3x + (-49 + 0 + x2)) + -1(4x2 + 12x + 9)) = -2x2 + 5(x2 + 2x + 1 + -3(x + 6))
12 + -1(6x + (3x + (-49 + x2)) + -1(4x2 + 12x + 9)) = -2x2 + 5(x2 + 2x + 1 + -3(x + 6))

Reorder the terms:
12 + -1(6x + (-49 + 3x + x2) + -1(4x2 + 12x + 9)) = -2x2 + 5(x2 + 2x + 1 + -3(x + 6))

Remove parenthesis around (-49 + 3x + x2)
12 + -1(6x + -49 + 3x + x2 + -1(4x2 + 12x + 9)) = -2x2 + 5(x2 + 2x + 1 + -3(x + 6))

Reorder the terms:
12 + -1(6x + -49 + 3x + x2 + -1(9 + 12x + 4x2)) = -2x2 + 5(x2 + 2x + 1 + -3(x + 6))
12 + -1(6x + -49 + 3x + x2 + (9 * -1 + 12x * -1 + 4x2 * -1)) = -2x2 + 5(x2 + 2x + 1 + -3(x + 6))
12 + -1(6x + -49 + 3x + x2 + (-9 + -12x + -4x2)) = -2x2 + 5(x2 + 2x + 1 + -3(x + 6))

Reorder the terms:
12 + -1(-49 + -9 + 6x + 3x + -12x + x2 + -4x2) = -2x2 + 5(x2 + 2x + 1 + -3(x + 6))

Combine like terms: -49 + -9 = -58
12 + -1(-58 + 6x + 3x + -12x + x2 + -4x2) = -2x2 + 5(x2 + 2x + 1 + -3(x + 6))

Combine like terms: 6x + 3x = 9x
12 + -1(-58 + 9x + -12x + x2 + -4x2) = -2x2 + 5(x2 + 2x + 1 + -3(x + 6))

Combine like terms: 9x + -12x = -3x
12 + -1(-58 + -3x + x2 + -4x2) = -2x2 + 5(x2 + 2x + 1 + -3(x + 6))

Combine like terms: x2 + -4x2 = -3x2
12 + -1(-58 + -3x + -3x2) = -2x2 + 5(x2 + 2x + 1 + -3(x + 6))
12 + (-58 * -1 + -3x * -1 + -3x2 * -1) = -2x2 + 5(x2 + 2x + 1 + -3(x + 6))
12 + (58 + 3x + 3x2) = -2x2 + 5(x2 + 2x + 1 + -3(x + 6))

Combine like terms: 12 + 58 = 70
70 + 3x + 3x2 = -2x2 + 5(x2 + 2x + 1 + -3(x + 6))

Reorder the terms:
70 + 3x + 3x2 = -2x2 + 5(x2 + 2x + 1 + -3(6 + x))
70 + 3x + 3x2 = -2x2 + 5(x2 + 2x + 1 + (6 * -3 + x * -3))
70 + 3x + 3x2 = -2x2 + 5(x2 + 2x + 1 + (-18 + -3x))

Reorder the terms:
70 + 3x + 3x2 = -2x2 + 5(1 + -18 + 2x + -3x + x2)

Combine like terms: 1 + -18 = -17
70 + 3x + 3x2 = -2x2 + 5(-17 + 2x + -3x + x2)

Combine like terms: 2x + -3x = -1x
70 + 3x + 3x2 = -2x2 + 5(-17 + -1x + x2)
70 + 3x + 3x2 = -2x2 + (-17 * 5 + -1x * 5 + x2 * 5)
70 + 3x + 3x2 = -2x2 + (-85 + -5x + 5x2)

Reorder the terms:
70 + 3x + 3x2 = -85 + -5x + -2x2 + 5x2

Combine like terms: -2x2 + 5x2 = 3x2
70 + 3x + 3x2 = -85 + -5x + 3x2

Add '-3x2' to each side of the equation.
70 + 3x + 3x2 + -3x2 = -85 + -5x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
70 + 3x + 0 = -85 + -5x + 3x2 + -3x2
70 + 3x = -85 + -5x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
70 + 3x = -85 + -5x + 0
70 + 3x = -85 + -5x

Solving
70 + 3x = -85 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
70 + 3x + 5x = -85 + -5x + 5x

Combine like terms: 3x + 5x = 8x
70 + 8x = -85 + -5x + 5x

Combine like terms: -5x + 5x = 0
70 + 8x = -85 + 0
70 + 8x = -85

Add '-70' to each side of the equation.
70 + -70 + 8x = -85 + -70

Combine like terms: 70 + -70 = 0
0 + 8x = -85 + -70
8x = -85 + -70

Combine like terms: -85 + -70 = -155
8x = -155

Divide each side by '8'.
x = -19.375

Simplifying
x = -19.375

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