(x+4)(x-4)=(x-4)(x+2)

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Solution for (x+4)(x-4)=(x-4)(x+2) equation: 


Simplifying
(x + 4)(x + -4) = (x + -4)(x + 2)

Reorder the terms:
(4 + x)(x + -4) = (x + -4)(x + 2)

Reorder the terms:
(4 + x)(-4 + x) = (x + -4)(x + 2)

Multiply (4 + x) * (-4 + x)
(4(-4 + x) + x(-4 + x)) = (x + -4)(x + 2)
((-4 * 4 + x * 4) + x(-4 + x)) = (x + -4)(x + 2)
((-16 + 4x) + x(-4 + x)) = (x + -4)(x + 2)
(-16 + 4x + (-4 * x + x * x)) = (x + -4)(x + 2)
(-16 + 4x + (-4x + x2)) = (x + -4)(x + 2)

Combine like terms: 4x + -4x = 0
(-16 + 0 + x2) = (x + -4)(x + 2)
(-16 + x2) = (x + -4)(x + 2)

Reorder the terms:
-16 + x2 = (-4 + x)(x + 2)

Reorder the terms:
-16 + x2 = (-4 + x)(2 + x)

Multiply (-4 + x) * (2 + x)
-16 + x2 = (-4(2 + x) + x(2 + x))
-16 + x2 = ((2 * -4 + x * -4) + x(2 + x))
-16 + x2 = ((-8 + -4x) + x(2 + x))
-16 + x2 = (-8 + -4x + (2 * x + x * x))
-16 + x2 = (-8 + -4x + (2x + x2))

Combine like terms: -4x + 2x = -2x
-16 + x2 = (-8 + -2x + x2)

Add '-1x2' to each side of the equation.
-16 + x2 + -1x2 = -8 + -2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-16 + 0 = -8 + -2x + x2 + -1x2
-16 = -8 + -2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-16 = -8 + -2x + 0
-16 = -8 + -2x

Solving
-16 = -8 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-16 + 2x = -8 + -2x + 2x

Combine like terms: -2x + 2x = 0
-16 + 2x = -8 + 0
-16 + 2x = -8

Add '16' to each side of the equation.
-16 + 16 + 2x = -8 + 16

Combine like terms: -16 + 16 = 0
0 + 2x = -8 + 16
2x = -8 + 16

Combine like terms: -8 + 16 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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