(x-5)2-8=41

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Solution for (x-5)2-8=41 equation:


Simplifying
(x + -5) * 2 + -8 = 41

Reorder the terms:
(-5 + x) * 2 + -8 = 41

Reorder the terms for easier multiplication:
2(-5 + x) + -8 = 41
(-5 * 2 + x * 2) + -8 = 41
(-10 + 2x) + -8 = 41

Reorder the terms:
-10 + -8 + 2x = 41

Combine like terms: -10 + -8 = -18
-18 + 2x = 41

Solving
-18 + 2x = 41

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + 2x = 41 + 18

Combine like terms: -18 + 18 = 0
0 + 2x = 41 + 18
2x = 41 + 18

Combine like terms: 41 + 18 = 59
2x = 59

Divide each side by '2'.
x = 29.5

Simplifying
x = 29.5

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