(x-7)2+(x)2=(13)2

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Solution for (x-7)2+(x)2=(13)2 equation:


Simplifying
(x + -7) * 2 + (x) * 2 = (13) * 2

Reorder the terms:
(-7 + x) * 2 + (x) * 2 = (13) * 2

Reorder the terms for easier multiplication:
2(-7 + x) + (x) * 2 = (13) * 2
(-7 * 2 + x * 2) + (x) * 2 = (13) * 2
(-14 + 2x) + (x) * 2 = (13) * 2

Reorder the terms for easier multiplication:
-14 + 2x + 2x = (13) * 2

Combine like terms: 2x + 2x = 4x
-14 + 4x = (13) * 2

Multiply 13 * 2
-14 + 4x = 26

Solving
-14 + 4x = 26

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + 4x = 26 + 14

Combine like terms: -14 + 14 = 0
0 + 4x = 26 + 14
4x = 26 + 14

Combine like terms: 26 + 14 = 40
4x = 40

Divide each side by '4'.
x = 10

Simplifying
x = 10

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