2(x-3)2=8

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


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

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

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

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

Solving
-12 + 4x = 8

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 + 4x = 8 + 12

Combine like terms: -12 + 12 = 0
0 + 4x = 8 + 12
4x = 8 + 12

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

Divide each side by '4'.
x = 5

Simplifying
x = 5

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