(x+6)(x+2)-(x-2)(x)=132

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Solution for (x+6)(x+2)-(x-2)(x)=132 equation:


Simplifying
(x + 6)(x + 2) + -1(x + -2)(x) = 132

Reorder the terms:
(6 + x)(x + 2) + -1(x + -2)(x) = 132

Reorder the terms:
(6 + x)(2 + x) + -1(x + -2)(x) = 132

Multiply (6 + x) * (2 + x)
(6(2 + x) + x(2 + x)) + -1(x + -2)(x) = 132
((2 * 6 + x * 6) + x(2 + x)) + -1(x + -2)(x) = 132
((12 + 6x) + x(2 + x)) + -1(x + -2)(x) = 132
(12 + 6x + (2 * x + x * x)) + -1(x + -2)(x) = 132
(12 + 6x + (2x + x2)) + -1(x + -2)(x) = 132

Combine like terms: 6x + 2x = 8x
(12 + 8x + x2) + -1(x + -2)(x) = 132

Reorder the terms:
12 + 8x + x2 + -1(-2 + x)(x) = 132

Reorder the terms for easier multiplication:
12 + 8x + x2 + -1x(-2 + x) = 132
12 + 8x + x2 + (-2 * -1x + x * -1x) = 132
12 + 8x + x2 + (2x + -1x2) = 132

Reorder the terms:
12 + 8x + 2x + x2 + -1x2 = 132

Combine like terms: 8x + 2x = 10x
12 + 10x + x2 + -1x2 = 132

Combine like terms: x2 + -1x2 = 0
12 + 10x + 0 = 132
12 + 10x = 132

Solving
12 + 10x = 132

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 + 10x = 132 + -12

Combine like terms: 12 + -12 = 0
0 + 10x = 132 + -12
10x = 132 + -12

Combine like terms: 132 + -12 = 120
10x = 120

Divide each side by '10'.
x = 12

Simplifying
x = 12

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