16=(x-3)(x+1)-(x-5)(x-1)

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Solution for 16=(x-3)(x+1)-(x-5)(x-1) equation: 


Simplifying
16 = (x + -3)(x + 1) + -1(x + -5)(x + -1)

Reorder the terms:
16 = (-3 + x)(x + 1) + -1(x + -5)(x + -1)

Reorder the terms:
16 = (-3 + x)(1 + x) + -1(x + -5)(x + -1)

Multiply (-3 + x) * (1 + x)
16 = (-3(1 + x) + x(1 + x)) + -1(x + -5)(x + -1)
16 = ((1 * -3 + x * -3) + x(1 + x)) + -1(x + -5)(x + -1)
16 = ((-3 + -3x) + x(1 + x)) + -1(x + -5)(x + -1)
16 = (-3 + -3x + (1 * x + x * x)) + -1(x + -5)(x + -1)
16 = (-3 + -3x + (1x + x2)) + -1(x + -5)(x + -1)

Combine like terms: -3x + 1x = -2x
16 = (-3 + -2x + x2) + -1(x + -5)(x + -1)

Reorder the terms:
16 = -3 + -2x + x2 + -1(-5 + x)(x + -1)

Reorder the terms:
16 = -3 + -2x + x2 + -1(-5 + x)(-1 + x)

Multiply (-5 + x) * (-1 + x)
16 = -3 + -2x + x2 + -1(-5(-1 + x) + x(-1 + x))
16 = -3 + -2x + x2 + -1((-1 * -5 + x * -5) + x(-1 + x))
16 = -3 + -2x + x2 + -1((5 + -5x) + x(-1 + x))
16 = -3 + -2x + x2 + -1(5 + -5x + (-1 * x + x * x))
16 = -3 + -2x + x2 + -1(5 + -5x + (-1x + x2))

Combine like terms: -5x + -1x = -6x
16 = -3 + -2x + x2 + -1(5 + -6x + x2)
16 = -3 + -2x + x2 + (5 * -1 + -6x * -1 + x2 * -1)
16 = -3 + -2x + x2 + (-5 + 6x + -1x2)

Reorder the terms:
16 = -3 + -5 + -2x + 6x + x2 + -1x2

Combine like terms: -3 + -5 = -8
16 = -8 + -2x + 6x + x2 + -1x2

Combine like terms: -2x + 6x = 4x
16 = -8 + 4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
16 = -8 + 4x + 0
16 = -8 + 4x

Solving
16 = -8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
16 + -4x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
16 + -4x = -8 + 0
16 + -4x = -8

Add '-16' to each side of the equation.
16 + -16 + -4x = -8 + -16

Combine like terms: 16 + -16 = 0
0 + -4x = -8 + -16
-4x = -8 + -16

Combine like terms: -8 + -16 = -24
-4x = -24

Divide each side by '-4'.
x = 6

Simplifying
x = 6

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