(x-4)(x+6)=(x-2)(x+2)

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Solution for (x-4)(x+6)=(x-2)(x+2) equation: 


Simplifying
(x + -4)(x + 6) = (x + -2)(x + 2)

Reorder the terms:
(-4 + x)(x + 6) = (x + -2)(x + 2)

Reorder the terms:
(-4 + x)(6 + x) = (x + -2)(x + 2)

Multiply (-4 + x) * (6 + x)
(-4(6 + x) + x(6 + x)) = (x + -2)(x + 2)
((6 * -4 + x * -4) + x(6 + x)) = (x + -2)(x + 2)
((-24 + -4x) + x(6 + x)) = (x + -2)(x + 2)
(-24 + -4x + (6 * x + x * x)) = (x + -2)(x + 2)
(-24 + -4x + (6x + x2)) = (x + -2)(x + 2)

Combine like terms: -4x + 6x = 2x
(-24 + 2x + x2) = (x + -2)(x + 2)

Reorder the terms:
-24 + 2x + x2 = (-2 + x)(x + 2)

Reorder the terms:
-24 + 2x + x2 = (-2 + x)(2 + x)

Multiply (-2 + x) * (2 + x)
-24 + 2x + x2 = (-2(2 + x) + x(2 + x))
-24 + 2x + x2 = ((2 * -2 + x * -2) + x(2 + x))
-24 + 2x + x2 = ((-4 + -2x) + x(2 + x))
-24 + 2x + x2 = (-4 + -2x + (2 * x + x * x))
-24 + 2x + x2 = (-4 + -2x + (2x + x2))

Combine like terms: -2x + 2x = 0
-24 + 2x + x2 = (-4 + 0 + x2)
-24 + 2x + x2 = (-4 + x2)

Add '-1x2' to each side of the equation.
-24 + 2x + x2 + -1x2 = -4 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-24 + 2x + 0 = -4 + x2 + -1x2
-24 + 2x = -4 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-24 + 2x = -4 + 0
-24 + 2x = -4

Solving
-24 + 2x = -4

Solving for variable 'x'.

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

Add '24' to each side of the equation.
-24 + 24 + 2x = -4 + 24

Combine like terms: -24 + 24 = 0
0 + 2x = -4 + 24
2x = -4 + 24

Combine like terms: -4 + 24 = 20
2x = 20

Divide each side by '2'.
x = 10

Simplifying
x = 10

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