((2x+1)(2x+1))-((2x-1)(2x-1))=208

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Solution for ((2x+1)(2x+1))-((2x-1)(2x-1))=208 equation: 


Simplifying
((2x + 1)(2x + 1)) + -1((2x + -1)(2x + -1)) = 208

Reorder the terms:
((1 + 2x)(2x + 1)) + -1((2x + -1)(2x + -1)) = 208

Reorder the terms:
((1 + 2x)(1 + 2x)) + -1((2x + -1)(2x + -1)) = 208

Multiply (1 + 2x) * (1 + 2x)
((1(1 + 2x) + 2x * (1 + 2x))) + -1((2x + -1)(2x + -1)) = 208
(((1 * 1 + 2x * 1) + 2x * (1 + 2x))) + -1((2x + -1)(2x + -1)) = 208
(((1 + 2x) + 2x * (1 + 2x))) + -1((2x + -1)(2x + -1)) = 208
((1 + 2x + (1 * 2x + 2x * 2x))) + -1((2x + -1)(2x + -1)) = 208
((1 + 2x + (2x + 4x2))) + -1((2x + -1)(2x + -1)) = 208

Combine like terms: 2x + 2x = 4x
((1 + 4x + 4x2)) + -1((2x + -1)(2x + -1)) = 208
(1 + 4x + 4x2) + -1((2x + -1)(2x + -1)) = 208

Remove parenthesis around (1 + 4x + 4x2)
1 + 4x + 4x2 + -1((2x + -1)(2x + -1)) = 208

Reorder the terms:
1 + 4x + 4x2 + -1((-1 + 2x)(2x + -1)) = 208

Reorder the terms:
1 + 4x + 4x2 + -1((-1 + 2x)(-1 + 2x)) = 208

Multiply (-1 + 2x) * (-1 + 2x)
1 + 4x + 4x2 + -1((-1(-1 + 2x) + 2x * (-1 + 2x))) = 208
1 + 4x + 4x2 + -1(((-1 * -1 + 2x * -1) + 2x * (-1 + 2x))) = 208
1 + 4x + 4x2 + -1(((1 + -2x) + 2x * (-1 + 2x))) = 208
1 + 4x + 4x2 + -1((1 + -2x + (-1 * 2x + 2x * 2x))) = 208
1 + 4x + 4x2 + -1((1 + -2x + (-2x + 4x2))) = 208

Combine like terms: -2x + -2x = -4x
1 + 4x + 4x2 + -1((1 + -4x + 4x2)) = 208
1 + 4x + 4x2 + (1 * -1 + -4x * -1 + 4x2 * -1) = 208
1 + 4x + 4x2 + (-1 + 4x + -4x2) = 208

Reorder the terms:
1 + -1 + 4x + 4x + 4x2 + -4x2 = 208

Combine like terms: 1 + -1 = 0
0 + 4x + 4x + 4x2 + -4x2 = 208
4x + 4x + 4x2 + -4x2 = 208

Combine like terms: 4x + 4x = 8x
8x + 4x2 + -4x2 = 208

Combine like terms: 4x2 + -4x2 = 0
8x + 0 = 208
8x = 208

Solving
8x = 208

Solving for variable 'x'.

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

Divide each side by '8'.
x = 26

Simplifying
x = 26

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