(x+2)(2x+2)-2x^2=76

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Solution for (x+2)(2x+2)-2x^2=76 equation: 


Simplifying
(x + 2)(2x + 2) + -2x2 = 76

Reorder the terms:
(2 + x)(2x + 2) + -2x2 = 76

Reorder the terms:
(2 + x)(2 + 2x) + -2x2 = 76

Multiply (2 + x) * (2 + 2x)
(2(2 + 2x) + x(2 + 2x)) + -2x2 = 76
((2 * 2 + 2x * 2) + x(2 + 2x)) + -2x2 = 76
((4 + 4x) + x(2 + 2x)) + -2x2 = 76
(4 + 4x + (2 * x + 2x * x)) + -2x2 = 76
(4 + 4x + (2x + 2x2)) + -2x2 = 76

Combine like terms: 4x + 2x = 6x
(4 + 6x + 2x2) + -2x2 = 76

Combine like terms: 2x2 + -2x2 = 0
4 + 6x + 0 = 76
4 + 6x = 76

Solving
4 + 6x = 76

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 6x = 76 + -4

Combine like terms: 4 + -4 = 0
0 + 6x = 76 + -4
6x = 76 + -4

Combine like terms: 76 + -4 = 72
6x = 72

Divide each side by '6'.
x = 12

Simplifying
x = 12

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