(x-8)2-5=31

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Solution for (x-8)2-5=31 equation:


Simplifying
(x + -8) * 2 + -5 = 31

Reorder the terms:
(-8 + x) * 2 + -5 = 31

Reorder the terms for easier multiplication:
2(-8 + x) + -5 = 31
(-8 * 2 + x * 2) + -5 = 31
(-16 + 2x) + -5 = 31

Reorder the terms:
-16 + -5 + 2x = 31

Combine like terms: -16 + -5 = -21
-21 + 2x = 31

Solving
-21 + 2x = 31

Solving for variable 'x'.

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

Add '21' to each side of the equation.
-21 + 21 + 2x = 31 + 21

Combine like terms: -21 + 21 = 0
0 + 2x = 31 + 21
2x = 31 + 21

Combine like terms: 31 + 21 = 52
2x = 52

Divide each side by '2'.
x = 26

Simplifying
x = 26

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