D=5(x-6)+(5x-4)(3-8x)

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Solution for D=5(x-6)+(5x-4)(3-8x) equation: 


Simplifying
D = 5(x + -6) + (5x + -4)(3 + -8x)

Reorder the terms:
D = 5(-6 + x) + (5x + -4)(3 + -8x)
D = (-6 * 5 + x * 5) + (5x + -4)(3 + -8x)
D = (-30 + 5x) + (5x + -4)(3 + -8x)

Reorder the terms:
D = -30 + 5x + (-4 + 5x)(3 + -8x)

Multiply (-4 + 5x) * (3 + -8x)
D = -30 + 5x + (-4(3 + -8x) + 5x * (3 + -8x))
D = -30 + 5x + ((3 * -4 + -8x * -4) + 5x * (3 + -8x))
D = -30 + 5x + ((-12 + 32x) + 5x * (3 + -8x))
D = -30 + 5x + (-12 + 32x + (3 * 5x + -8x * 5x))
D = -30 + 5x + (-12 + 32x + (15x + -40x2))

Combine like terms: 32x + 15x = 47x
D = -30 + 5x + (-12 + 47x + -40x2)

Reorder the terms:
D = -30 + -12 + 5x + 47x + -40x2

Combine like terms: -30 + -12 = -42
D = -42 + 5x + 47x + -40x2

Combine like terms: 5x + 47x = 52x
D = -42 + 52x + -40x2

Solving
D = -42 + 52x + -40x2

Solving for variable 'D'.

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

Simplifying
D = -42 + 52x + -40x2

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