(x+2)(x-2)=(x-2)(x+3)-2

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Solution for (x+2)(x-2)=(x-2)(x+3)-2 equation: 


Simplifying
(x + 2)(x + -2) = (x + -2)(x + 3) + -2

Reorder the terms:
(2 + x)(x + -2) = (x + -2)(x + 3) + -2

Reorder the terms:
(2 + x)(-2 + x) = (x + -2)(x + 3) + -2

Multiply (2 + x) * (-2 + x)
(2(-2 + x) + x(-2 + x)) = (x + -2)(x + 3) + -2
((-2 * 2 + x * 2) + x(-2 + x)) = (x + -2)(x + 3) + -2
((-4 + 2x) + x(-2 + x)) = (x + -2)(x + 3) + -2
(-4 + 2x + (-2 * x + x * x)) = (x + -2)(x + 3) + -2
(-4 + 2x + (-2x + x2)) = (x + -2)(x + 3) + -2

Combine like terms: 2x + -2x = 0
(-4 + 0 + x2) = (x + -2)(x + 3) + -2
(-4 + x2) = (x + -2)(x + 3) + -2

Reorder the terms:
-4 + x2 = (-2 + x)(x + 3) + -2

Reorder the terms:
-4 + x2 = (-2 + x)(3 + x) + -2

Multiply (-2 + x) * (3 + x)
-4 + x2 = (-2(3 + x) + x(3 + x)) + -2
-4 + x2 = ((3 * -2 + x * -2) + x(3 + x)) + -2
-4 + x2 = ((-6 + -2x) + x(3 + x)) + -2
-4 + x2 = (-6 + -2x + (3 * x + x * x)) + -2
-4 + x2 = (-6 + -2x + (3x + x2)) + -2

Combine like terms: -2x + 3x = 1x
-4 + x2 = (-6 + 1x + x2) + -2

Reorder the terms:
-4 + x2 = -6 + -2 + 1x + x2

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

Add '-1x2' to each side of the equation.
-4 + x2 + -1x2 = -8 + 1x + x2 + -1x2

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

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

Solving
-4 = -8 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-4 + -1x = -8 + 1x + -1x

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

Add '4' to each side of the equation.
-4 + 4 + -1x = -8 + 4

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

Combine like terms: -8 + 4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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