2(x+3)2+8=-2

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Solution for 2(x+3)2+8=-2 equation:


Simplifying
2(x + 3) * 2 + 8 = -2

Reorder the terms:
2(3 + x) * 2 + 8 = -2

Reorder the terms for easier multiplication:
2 * 2(3 + x) + 8 = -2

Multiply 2 * 2
4(3 + x) + 8 = -2
(3 * 4 + x * 4) + 8 = -2
(12 + 4x) + 8 = -2

Reorder the terms:
12 + 8 + 4x = -2

Combine like terms: 12 + 8 = 20
20 + 4x = -2

Solving
20 + 4x = -2

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + 4x = -2 + -20

Combine like terms: 20 + -20 = 0
0 + 4x = -2 + -20
4x = -2 + -20

Combine like terms: -2 + -20 = -22
4x = -22

Divide each side by '4'.
x = -5.5

Simplifying
x = -5.5

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