2(x-3)2-8=16

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Solution for 2(x-3)2-8=16 equation: 


Simplifying
2(x + -3) * 2 + -8 = 16

Reorder the terms:
2(-3 + x) * 2 + -8 = 16

Reorder the terms for easier multiplication:
2 * 2(-3 + x) + -8 = 16

Multiply 2 * 2
4(-3 + x) + -8 = 16
(-3 * 4 + x * 4) + -8 = 16
(-12 + 4x) + -8 = 16

Reorder the terms:
-12 + -8 + 4x = 16

Combine like terms: -12 + -8 = -20
-20 + 4x = 16

Solving
-20 + 4x = 16

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 = 16 + 20

Combine like terms: -20 + 20 = 0
0 + 4x = 16 + 20
4x = 16 + 20

Combine like terms: 16 + 20 = 36
4x = 36

Divide each side by '4'.
x = 9

Simplifying
x = 9

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