((x+2)*(x+2))-((x-4)*(x-4))=11x-8

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Solution for ((x+2)*(x+2))-((x-4)*(x-4))=11x-8 equation:


Simplifying
((x + 2)(x + 2)) + -1((x + -4)(x + -4)) = 11x + -8

Reorder the terms:
((2 + x)(x + 2)) + -1((x + -4)(x + -4)) = 11x + -8

Reorder the terms:
((2 + x)(2 + x)) + -1((x + -4)(x + -4)) = 11x + -8

Multiply (2 + x) * (2 + x)
((2(2 + x) + x(2 + x))) + -1((x + -4)(x + -4)) = 11x + -8
(((2 * 2 + x * 2) + x(2 + x))) + -1((x + -4)(x + -4)) = 11x + -8
(((4 + 2x) + x(2 + x))) + -1((x + -4)(x + -4)) = 11x + -8
((4 + 2x + (2 * x + x * x))) + -1((x + -4)(x + -4)) = 11x + -8
((4 + 2x + (2x + x2))) + -1((x + -4)(x + -4)) = 11x + -8

Combine like terms: 2x + 2x = 4x
((4 + 4x + x2)) + -1((x + -4)(x + -4)) = 11x + -8
(4 + 4x + x2) + -1((x + -4)(x + -4)) = 11x + -8

Remove parenthesis around (4 + 4x + x2)
4 + 4x + x2 + -1((x + -4)(x + -4)) = 11x + -8

Reorder the terms:
4 + 4x + x2 + -1((-4 + x)(x + -4)) = 11x + -8

Reorder the terms:
4 + 4x + x2 + -1((-4 + x)(-4 + x)) = 11x + -8

Multiply (-4 + x) * (-4 + x)
4 + 4x + x2 + -1((-4(-4 + x) + x(-4 + x))) = 11x + -8
4 + 4x + x2 + -1(((-4 * -4 + x * -4) + x(-4 + x))) = 11x + -8
4 + 4x + x2 + -1(((16 + -4x) + x(-4 + x))) = 11x + -8
4 + 4x + x2 + -1((16 + -4x + (-4 * x + x * x))) = 11x + -8
4 + 4x + x2 + -1((16 + -4x + (-4x + x2))) = 11x + -8

Combine like terms: -4x + -4x = -8x
4 + 4x + x2 + -1((16 + -8x + x2)) = 11x + -8
4 + 4x + x2 + (16 * -1 + -8x * -1 + x2 * -1) = 11x + -8
4 + 4x + x2 + (-16 + 8x + -1x2) = 11x + -8

Reorder the terms:
4 + -16 + 4x + 8x + x2 + -1x2 = 11x + -8

Combine like terms: 4 + -16 = -12
-12 + 4x + 8x + x2 + -1x2 = 11x + -8

Combine like terms: 4x + 8x = 12x
-12 + 12x + x2 + -1x2 = 11x + -8

Combine like terms: x2 + -1x2 = 0
-12 + 12x + 0 = 11x + -8
-12 + 12x = 11x + -8

Reorder the terms:
-12 + 12x = -8 + 11x

Solving
-12 + 12x = -8 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
-12 + 12x + -11x = -8 + 11x + -11x

Combine like terms: 12x + -11x = 1x
-12 + 1x = -8 + 11x + -11x

Combine like terms: 11x + -11x = 0
-12 + 1x = -8 + 0
-12 + 1x = -8

Add '12' to each side of the equation.
-12 + 12 + 1x = -8 + 12

Combine like terms: -12 + 12 = 0
0 + 1x = -8 + 12
1x = -8 + 12

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

Divide each side by '1'.
x = 4

Simplifying
x = 4

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