(X+8)(x+9)-(3x+14)=(2x-3)(x-2)-(x+7)(x-12)

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Solution for (X+8)(x+9)-(3x+14)=(2x-3)(x-2)-(x+7)(x-12) equation: 


Simplifying
(X + 8)(x + 9) + -1(3x + 14) = (2x + -3)(x + -2) + -1(x + 7)(x + -12)

Reorder the terms:
(8 + X)(x + 9) + -1(3x + 14) = (2x + -3)(x + -2) + -1(x + 7)(x + -12)

Reorder the terms:
(8 + X)(9 + x) + -1(3x + 14) = (2x + -3)(x + -2) + -1(x + 7)(x + -12)

Multiply (8 + X) * (9 + x)
(8(9 + x) + X(9 + x)) + -1(3x + 14) = (2x + -3)(x + -2) + -1(x + 7)(x + -12)
((9 * 8 + x * 8) + X(9 + x)) + -1(3x + 14) = (2x + -3)(x + -2) + -1(x + 7)(x + -12)
((72 + 8x) + X(9 + x)) + -1(3x + 14) = (2x + -3)(x + -2) + -1(x + 7)(x + -12)
(72 + 8x + (9 * X + x * X)) + -1(3x + 14) = (2x + -3)(x + -2) + -1(x + 7)(x + -12)
(72 + 8x + (9X + xX)) + -1(3x + 14) = (2x + -3)(x + -2) + -1(x + 7)(x + -12)

Reorder the terms:
(72 + 9X + 8x + xX) + -1(3x + 14) = (2x + -3)(x + -2) + -1(x + 7)(x + -12)
(72 + 9X + 8x + xX) + -1(3x + 14) = (2x + -3)(x + -2) + -1(x + 7)(x + -12)

Reorder the terms:
72 + 9X + 8x + xX + -1(14 + 3x) = (2x + -3)(x + -2) + -1(x + 7)(x + -12)
72 + 9X + 8x + xX + (14 * -1 + 3x * -1) = (2x + -3)(x + -2) + -1(x + 7)(x + -12)
72 + 9X + 8x + xX + (-14 + -3x) = (2x + -3)(x + -2) + -1(x + 7)(x + -12)

Reorder the terms:
72 + -14 + 9X + 8x + -3x + xX = (2x + -3)(x + -2) + -1(x + 7)(x + -12)

Combine like terms: 72 + -14 = 58
58 + 9X + 8x + -3x + xX = (2x + -3)(x + -2) + -1(x + 7)(x + -12)

Combine like terms: 8x + -3x = 5x
58 + 9X + 5x + xX = (2x + -3)(x + -2) + -1(x + 7)(x + -12)

Reorder the terms:
58 + 9X + 5x + xX = (-3 + 2x)(x + -2) + -1(x + 7)(x + -12)

Reorder the terms:
58 + 9X + 5x + xX = (-3 + 2x)(-2 + x) + -1(x + 7)(x + -12)

Multiply (-3 + 2x) * (-2 + x)
58 + 9X + 5x + xX = (-3(-2 + x) + 2x * (-2 + x)) + -1(x + 7)(x + -12)
58 + 9X + 5x + xX = ((-2 * -3 + x * -3) + 2x * (-2 + x)) + -1(x + 7)(x + -12)
58 + 9X + 5x + xX = ((6 + -3x) + 2x * (-2 + x)) + -1(x + 7)(x + -12)
58 + 9X + 5x + xX = (6 + -3x + (-2 * 2x + x * 2x)) + -1(x + 7)(x + -12)
58 + 9X + 5x + xX = (6 + -3x + (-4x + 2x2)) + -1(x + 7)(x + -12)

Combine like terms: -3x + -4x = -7x
58 + 9X + 5x + xX = (6 + -7x + 2x2) + -1(x + 7)(x + -12)

Reorder the terms:
58 + 9X + 5x + xX = 6 + -7x + 2x2 + -1(7 + x)(x + -12)

Reorder the terms:
58 + 9X + 5x + xX = 6 + -7x + 2x2 + -1(7 + x)(-12 + x)

Multiply (7 + x) * (-12 + x)
58 + 9X + 5x + xX = 6 + -7x + 2x2 + -1(7(-12 + x) + x(-12 + x))
58 + 9X + 5x + xX = 6 + -7x + 2x2 + -1((-12 * 7 + x * 7) + x(-12 + x))
58 + 9X + 5x + xX = 6 + -7x + 2x2 + -1((-84 + 7x) + x(-12 + x))
58 + 9X + 5x + xX = 6 + -7x + 2x2 + -1(-84 + 7x + (-12 * x + x * x))
58 + 9X + 5x + xX = 6 + -7x + 2x2 + -1(-84 + 7x + (-12x + x2))

Combine like terms: 7x + -12x = -5x
58 + 9X + 5x + xX = 6 + -7x + 2x2 + -1(-84 + -5x + x2)
58 + 9X + 5x + xX = 6 + -7x + 2x2 + (-84 * -1 + -5x * -1 + x2 * -1)
58 + 9X + 5x + xX = 6 + -7x + 2x2 + (84 + 5x + -1x2)

Reorder the terms:
58 + 9X + 5x + xX = 6 + 84 + -7x + 5x + 2x2 + -1x2

Combine like terms: 6 + 84 = 90
58 + 9X + 5x + xX = 90 + -7x + 5x + 2x2 + -1x2

Combine like terms: -7x + 5x = -2x
58 + 9X + 5x + xX = 90 + -2x + 2x2 + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
58 + 9X + 5x + xX = 90 + -2x + 1x2

Solving
58 + 9X + 5x + xX = 90 + -2x + 1x2

Solving for variable 'X'.

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

Add '-58' to each side of the equation.
58 + 9X + 5x + -58 + xX = 90 + -2x + -58 + 1x2

Reorder the terms:
58 + -58 + 9X + 5x + xX = 90 + -2x + -58 + 1x2

Combine like terms: 58 + -58 = 0
0 + 9X + 5x + xX = 90 + -2x + -58 + 1x2
9X + 5x + xX = 90 + -2x + -58 + 1x2

Reorder the terms:
9X + 5x + xX = 90 + -58 + -2x + 1x2

Combine like terms: 90 + -58 = 32
9X + 5x + xX = 32 + -2x + 1x2

Add '-5x' to each side of the equation.
9X + 5x + -5x + xX = 32 + -2x + -5x + 1x2

Combine like terms: 5x + -5x = 0
9X + 0 + xX = 32 + -2x + -5x + 1x2
9X + xX = 32 + -2x + -5x + 1x2

Combine like terms: -2x + -5x = -7x
9X + xX = 32 + -7x + 1x2

Reorder the terms:
-32 + 9X + 7x + xX + -1x2 = 32 + -7x + 1x2 + -32 + 7x + -1x2

Reorder the terms:
-32 + 9X + 7x + xX + -1x2 = 32 + -32 + -7x + 7x + 1x2 + -1x2

Combine like terms: 32 + -32 = 0
-32 + 9X + 7x + xX + -1x2 = 0 + -7x + 7x + 1x2 + -1x2
-32 + 9X + 7x + xX + -1x2 = -7x + 7x + 1x2 + -1x2

Combine like terms: -7x + 7x = 0
-32 + 9X + 7x + xX + -1x2 = 0 + 1x2 + -1x2
-32 + 9X + 7x + xX + -1x2 = 1x2 + -1x2

Combine like terms: 1x2 + -1x2 = 0
-32 + 9X + 7x + xX + -1x2 = 0

The solution to this equation could not be determined.

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