D=(3x+8)(x+4)-(x-1)(3x+8)

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Solution for D=(3x+8)(x+4)-(x-1)(3x+8) equation: 


Simplifying
D = (3x + 8)(x + 4) + -1(x + -1)(3x + 8)

Reorder the terms:
D = (8 + 3x)(x + 4) + -1(x + -1)(3x + 8)

Reorder the terms:
D = (8 + 3x)(4 + x) + -1(x + -1)(3x + 8)

Multiply (8 + 3x) * (4 + x)
D = (8(4 + x) + 3x * (4 + x)) + -1(x + -1)(3x + 8)
D = ((4 * 8 + x * 8) + 3x * (4 + x)) + -1(x + -1)(3x + 8)
D = ((32 + 8x) + 3x * (4 + x)) + -1(x + -1)(3x + 8)
D = (32 + 8x + (4 * 3x + x * 3x)) + -1(x + -1)(3x + 8)
D = (32 + 8x + (12x + 3x2)) + -1(x + -1)(3x + 8)

Combine like terms: 8x + 12x = 20x
D = (32 + 20x + 3x2) + -1(x + -1)(3x + 8)

Reorder the terms:
D = 32 + 20x + 3x2 + -1(-1 + x)(3x + 8)

Reorder the terms:
D = 32 + 20x + 3x2 + -1(-1 + x)(8 + 3x)

Multiply (-1 + x) * (8 + 3x)
D = 32 + 20x + 3x2 + -1(-1(8 + 3x) + x(8 + 3x))
D = 32 + 20x + 3x2 + -1((8 * -1 + 3x * -1) + x(8 + 3x))
D = 32 + 20x + 3x2 + -1((-8 + -3x) + x(8 + 3x))
D = 32 + 20x + 3x2 + -1(-8 + -3x + (8 * x + 3x * x))
D = 32 + 20x + 3x2 + -1(-8 + -3x + (8x + 3x2))

Combine like terms: -3x + 8x = 5x
D = 32 + 20x + 3x2 + -1(-8 + 5x + 3x2)
D = 32 + 20x + 3x2 + (-8 * -1 + 5x * -1 + 3x2 * -1)
D = 32 + 20x + 3x2 + (8 + -5x + -3x2)

Reorder the terms:
D = 32 + 8 + 20x + -5x + 3x2 + -3x2

Combine like terms: 32 + 8 = 40
D = 40 + 20x + -5x + 3x2 + -3x2

Combine like terms: 20x + -5x = 15x
D = 40 + 15x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
D = 40 + 15x + 0
D = 40 + 15x

Solving
D = 40 + 15x

Solving for variable 'D'.

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

Simplifying
D = 40 + 15x

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