A=(4x-1)(3x+5)-(x-7)

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Solution for A=(4x-1)(3x+5)-(x-7) equation: 


Simplifying
A = (4x + -1)(3x + 5) + -1(x + -7)

Reorder the terms:
A = (-1 + 4x)(3x + 5) + -1(x + -7)

Reorder the terms:
A = (-1 + 4x)(5 + 3x) + -1(x + -7)

Multiply (-1 + 4x) * (5 + 3x)
A = (-1(5 + 3x) + 4x * (5 + 3x)) + -1(x + -7)
A = ((5 * -1 + 3x * -1) + 4x * (5 + 3x)) + -1(x + -7)
A = ((-5 + -3x) + 4x * (5 + 3x)) + -1(x + -7)
A = (-5 + -3x + (5 * 4x + 3x * 4x)) + -1(x + -7)
A = (-5 + -3x + (20x + 12x2)) + -1(x + -7)

Combine like terms: -3x + 20x = 17x
A = (-5 + 17x + 12x2) + -1(x + -7)

Reorder the terms:
A = -5 + 17x + 12x2 + -1(-7 + x)
A = -5 + 17x + 12x2 + (-7 * -1 + x * -1)
A = -5 + 17x + 12x2 + (7 + -1x)

Reorder the terms:
A = -5 + 7 + 17x + -1x + 12x2

Combine like terms: -5 + 7 = 2
A = 2 + 17x + -1x + 12x2

Combine like terms: 17x + -1x = 16x
A = 2 + 16x + 12x2

Solving
A = 2 + 16x + 12x2

Solving for variable 'A'.

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

Simplifying
A = 2 + 16x + 12x2

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