(x+8)2+2=(2*49)+25

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Solution for (x+8)2+2=(2*49)+25 equation:


Simplifying
(x + 8) * 2 + 2 = (2 * 49) + 25

Reorder the terms:
(8 + x) * 2 + 2 = (2 * 49) + 25

Reorder the terms for easier multiplication:
2(8 + x) + 2 = (2 * 49) + 25
(8 * 2 + x * 2) + 2 = (2 * 49) + 25
(16 + 2x) + 2 = (2 * 49) + 25

Reorder the terms:
16 + 2 + 2x = (2 * 49) + 25

Combine like terms: 16 + 2 = 18
18 + 2x = (2 * 49) + 25

Multiply 2 * 49
18 + 2x = (98) + 25
18 + 2x = 98 + 25

Combine like terms: 98 + 25 = 123
18 + 2x = 123

Solving
18 + 2x = 123

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 = 123 + -18

Combine like terms: 18 + -18 = 0
0 + 2x = 123 + -18
2x = 123 + -18

Combine like terms: 123 + -18 = 105
2x = 105

Divide each side by '2'.
x = 52.5

Simplifying
x = 52.5

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