(2x+4)(2x-4)+6x+11=2x(2+2x)+21

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Solution for (2x+4)(2x-4)+6x+11=2x(2+2x)+21 equation: 


Simplifying
(2x + 4)(2x + -4) + 6x + 11 = 2x(2 + 2x) + 21

Reorder the terms:
(4 + 2x)(2x + -4) + 6x + 11 = 2x(2 + 2x) + 21

Reorder the terms:
(4 + 2x)(-4 + 2x) + 6x + 11 = 2x(2 + 2x) + 21

Multiply (4 + 2x) * (-4 + 2x)
(4(-4 + 2x) + 2x * (-4 + 2x)) + 6x + 11 = 2x(2 + 2x) + 21
((-4 * 4 + 2x * 4) + 2x * (-4 + 2x)) + 6x + 11 = 2x(2 + 2x) + 21
((-16 + 8x) + 2x * (-4 + 2x)) + 6x + 11 = 2x(2 + 2x) + 21
(-16 + 8x + (-4 * 2x + 2x * 2x)) + 6x + 11 = 2x(2 + 2x) + 21
(-16 + 8x + (-8x + 4x2)) + 6x + 11 = 2x(2 + 2x) + 21

Combine like terms: 8x + -8x = 0
(-16 + 0 + 4x2) + 6x + 11 = 2x(2 + 2x) + 21
(-16 + 4x2) + 6x + 11 = 2x(2 + 2x) + 21

Reorder the terms:
-16 + 11 + 6x + 4x2 = 2x(2 + 2x) + 21

Combine like terms: -16 + 11 = -5
-5 + 6x + 4x2 = 2x(2 + 2x) + 21
-5 + 6x + 4x2 = (2 * 2x + 2x * 2x) + 21
-5 + 6x + 4x2 = (4x + 4x2) + 21

Reorder the terms:
-5 + 6x + 4x2 = 21 + 4x + 4x2

Add '-4x2' to each side of the equation.
-5 + 6x + 4x2 + -4x2 = 21 + 4x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-5 + 6x + 0 = 21 + 4x + 4x2 + -4x2
-5 + 6x = 21 + 4x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-5 + 6x = 21 + 4x + 0
-5 + 6x = 21 + 4x

Solving
-5 + 6x = 21 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-5 + 6x + -4x = 21 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-5 + 2x = 21 + 4x + -4x

Combine like terms: 4x + -4x = 0
-5 + 2x = 21 + 0
-5 + 2x = 21

Add '5' to each side of the equation.
-5 + 5 + 2x = 21 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = 21 + 5
2x = 21 + 5

Combine like terms: 21 + 5 = 26
2x = 26

Divide each side by '2'.
x = 13

Simplifying
x = 13

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