(x-10)2+(x-6)2=32

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Solution for (x-10)2+(x-6)2=32 equation: 


Simplifying
(x + -10) * 2 + (x + -6) * 2 = 32

Reorder the terms:
(-10 + x) * 2 + (x + -6) * 2 = 32

Reorder the terms for easier multiplication:
2(-10 + x) + (x + -6) * 2 = 32
(-10 * 2 + x * 2) + (x + -6) * 2 = 32
(-20 + 2x) + (x + -6) * 2 = 32

Reorder the terms:
-20 + 2x + (-6 + x) * 2 = 32

Reorder the terms for easier multiplication:
-20 + 2x + 2(-6 + x) = 32
-20 + 2x + (-6 * 2 + x * 2) = 32
-20 + 2x + (-12 + 2x) = 32

Reorder the terms:
-20 + -12 + 2x + 2x = 32

Combine like terms: -20 + -12 = -32
-32 + 2x + 2x = 32

Combine like terms: 2x + 2x = 4x
-32 + 4x = 32

Solving
-32 + 4x = 32

Solving for variable 'x'.

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

Add '32' to each side of the equation.
-32 + 32 + 4x = 32 + 32

Combine like terms: -32 + 32 = 0
0 + 4x = 32 + 32
4x = 32 + 32

Combine like terms: 32 + 32 = 64
4x = 64

Divide each side by '4'.
x = 16

Simplifying
x = 16

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