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

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


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

Reorder the terms:
(4 + x)(x + -4) = (x + 5)(x + -6) + 8

Reorder the terms:
(4 + x)(-4 + x) = (x + 5)(x + -6) + 8

Multiply (4 + x) * (-4 + x)
(4(-4 + x) + x(-4 + x)) = (x + 5)(x + -6) + 8
((-4 * 4 + x * 4) + x(-4 + x)) = (x + 5)(x + -6) + 8
((-16 + 4x) + x(-4 + x)) = (x + 5)(x + -6) + 8
(-16 + 4x + (-4 * x + x * x)) = (x + 5)(x + -6) + 8
(-16 + 4x + (-4x + x2)) = (x + 5)(x + -6) + 8

Combine like terms: 4x + -4x = 0
(-16 + 0 + x2) = (x + 5)(x + -6) + 8
(-16 + x2) = (x + 5)(x + -6) + 8

Reorder the terms:
-16 + x2 = (5 + x)(x + -6) + 8

Reorder the terms:
-16 + x2 = (5 + x)(-6 + x) + 8

Multiply (5 + x) * (-6 + x)
-16 + x2 = (5(-6 + x) + x(-6 + x)) + 8
-16 + x2 = ((-6 * 5 + x * 5) + x(-6 + x)) + 8
-16 + x2 = ((-30 + 5x) + x(-6 + x)) + 8
-16 + x2 = (-30 + 5x + (-6 * x + x * x)) + 8
-16 + x2 = (-30 + 5x + (-6x + x2)) + 8

Combine like terms: 5x + -6x = -1x
-16 + x2 = (-30 + -1x + x2) + 8

Reorder the terms:
-16 + x2 = -30 + 8 + -1x + x2

Combine like terms: -30 + 8 = -22
-16 + x2 = -22 + -1x + x2

Add '-1x2' to each side of the equation.
-16 + x2 + -1x2 = -22 + -1x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-16 + 0 = -22 + -1x + x2 + -1x2
-16 = -22 + -1x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-16 = -22 + -1x + 0
-16 = -22 + -1x

Solving
-16 = -22 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-16 + x = -22 + -1x + x

Combine like terms: -1x + x = 0
-16 + x = -22 + 0
-16 + x = -22

Add '16' to each side of the equation.
-16 + 16 + x = -22 + 16

Combine like terms: -16 + 16 = 0
0 + x = -22 + 16
x = -22 + 16

Combine like terms: -22 + 16 = -6
x = -6

Simplifying
x = -6

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