(X-5)2+8=89

Solution for (X-5)2+8=89 equation:

Simplifying
(X + -5) * 2 + 8 = 89

Reorder the terms:
(-5 + X) * 2 + 8 = 89

Reorder the terms for easier multiplication:
2(-5 + X) + 8 = 89
(-5 * 2 + X * 2) + 8 = 89
(-10 + 2X) + 8 = 89

Reorder the terms:
-10 + 8 + 2X = 89

Combine like terms: -10 + 8 = -2
-2 + 2X = 89

Solving
-2 + 2X = 89

Solving for variable 'X'.

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

Add '2' to each side of the equation.
-2 + 2 + 2X = 89 + 2

Combine like terms: -2 + 2 = 0
0 + 2X = 89 + 2
2X = 89 + 2

Combine like terms: 89 + 2 = 91
2X = 91

Divide each side by '2'.
X = 45.5

Simplifying
X = 45.5