(-x-2)(-x-2)-(4-x)(4-x)=12

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Solution for (-x-2)(-x-2)-(4-x)(4-x)=12 equation: 


Simplifying
(-1x + -2)(-1x + -2) + -1(4 + -1x)(4 + -1x) = 12

Reorder the terms:
(-2 + -1x)(-1x + -2) + -1(4 + -1x)(4 + -1x) = 12

Reorder the terms:
(-2 + -1x)(-2 + -1x) + -1(4 + -1x)(4 + -1x) = 12

Multiply (-2 + -1x) * (-2 + -1x)
(-2(-2 + -1x) + -1x * (-2 + -1x)) + -1(4 + -1x)(4 + -1x) = 12
((-2 * -2 + -1x * -2) + -1x * (-2 + -1x)) + -1(4 + -1x)(4 + -1x) = 12
((4 + 2x) + -1x * (-2 + -1x)) + -1(4 + -1x)(4 + -1x) = 12
(4 + 2x + (-2 * -1x + -1x * -1x)) + -1(4 + -1x)(4 + -1x) = 12
(4 + 2x + (2x + 1x2)) + -1(4 + -1x)(4 + -1x) = 12

Combine like terms: 2x + 2x = 4x
(4 + 4x + 1x2) + -1(4 + -1x)(4 + -1x) = 12

Multiply (4 + -1x) * (4 + -1x)
4 + 4x + 1x2 + -1(4(4 + -1x) + -1x * (4 + -1x)) = 12
4 + 4x + 1x2 + -1((4 * 4 + -1x * 4) + -1x * (4 + -1x)) = 12
4 + 4x + 1x2 + -1((16 + -4x) + -1x * (4 + -1x)) = 12
4 + 4x + 1x2 + -1(16 + -4x + (4 * -1x + -1x * -1x)) = 12
4 + 4x + 1x2 + -1(16 + -4x + (-4x + 1x2)) = 12

Combine like terms: -4x + -4x = -8x
4 + 4x + 1x2 + -1(16 + -8x + 1x2) = 12
4 + 4x + 1x2 + (16 * -1 + -8x * -1 + 1x2 * -1) = 12
4 + 4x + 1x2 + (-16 + 8x + -1x2) = 12

Reorder the terms:
4 + -16 + 4x + 8x + 1x2 + -1x2 = 12

Combine like terms: 4 + -16 = -12
-12 + 4x + 8x + 1x2 + -1x2 = 12

Combine like terms: 4x + 8x = 12x
-12 + 12x + 1x2 + -1x2 = 12

Combine like terms: 1x2 + -1x2 = 0
-12 + 12x + 0 = 12
-12 + 12x = 12

Solving
-12 + 12x = 12

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 12x = 12 + 12

Combine like terms: -12 + 12 = 0
0 + 12x = 12 + 12
12x = 12 + 12

Combine like terms: 12 + 12 = 24
12x = 24

Divide each side by '12'.
x = 2

Simplifying
x = 2

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