4(x-2)2=100

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Solution for 4(x-2)2=100 equation: 


Simplifying
4(x + -2) * 2 = 100

Reorder the terms:
4(-2 + x) * 2 = 100

Reorder the terms for easier multiplication:
4 * 2(-2 + x) = 100

Multiply 4 * 2
8(-2 + x) = 100
(-2 * 8 + x * 8) = 100
(-16 + 8x) = 100

Solving
-16 + 8x = 100

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + 8x = 100 + 16

Combine like terms: -16 + 16 = 0
0 + 8x = 100 + 16
8x = 100 + 16

Combine like terms: 100 + 16 = 116
8x = 116

Divide each side by '8'.
x = 14.5

Simplifying
x = 14.5

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