(x-5)2+(x+1)2=20

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Solution for (x-5)2+(x+1)2=20 equation:


Simplifying
(x + -5) * 2 + (x + 1) * 2 = 20

Reorder the terms:
(-5 + x) * 2 + (x + 1) * 2 = 20

Reorder the terms for easier multiplication:
2(-5 + x) + (x + 1) * 2 = 20
(-5 * 2 + x * 2) + (x + 1) * 2 = 20
(-10 + 2x) + (x + 1) * 2 = 20

Reorder the terms:
-10 + 2x + (1 + x) * 2 = 20

Reorder the terms for easier multiplication:
-10 + 2x + 2(1 + x) = 20
-10 + 2x + (1 * 2 + x * 2) = 20
-10 + 2x + (2 + 2x) = 20

Reorder the terms:
-10 + 2 + 2x + 2x = 20

Combine like terms: -10 + 2 = -8
-8 + 2x + 2x = 20

Combine like terms: 2x + 2x = 4x
-8 + 4x = 20

Solving
-8 + 4x = 20

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 4x = 20 + 8

Combine like terms: -8 + 8 = 0
0 + 4x = 20 + 8
4x = 20 + 8

Combine like terms: 20 + 8 = 28
4x = 28

Divide each side by '4'.
x = 7

Simplifying
x = 7

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