(x-3)2+(x+1)2=(x-2)2+(x+3)2

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Solution for (x-3)2+(x+1)2=(x-2)2+(x+3)2 equation: 


Simplifying
(x + -3) * 2 + (x + 1) * 2 = (x + -2) * 2 + (x + 3) * 2

Reorder the terms:
(-3 + x) * 2 + (x + 1) * 2 = (x + -2) * 2 + (x + 3) * 2

Reorder the terms for easier multiplication:
2(-3 + x) + (x + 1) * 2 = (x + -2) * 2 + (x + 3) * 2
(-3 * 2 + x * 2) + (x + 1) * 2 = (x + -2) * 2 + (x + 3) * 2
(-6 + 2x) + (x + 1) * 2 = (x + -2) * 2 + (x + 3) * 2

Reorder the terms:
-6 + 2x + (1 + x) * 2 = (x + -2) * 2 + (x + 3) * 2

Reorder the terms for easier multiplication:
-6 + 2x + 2(1 + x) = (x + -2) * 2 + (x + 3) * 2
-6 + 2x + (1 * 2 + x * 2) = (x + -2) * 2 + (x + 3) * 2
-6 + 2x + (2 + 2x) = (x + -2) * 2 + (x + 3) * 2

Reorder the terms:
-6 + 2 + 2x + 2x = (x + -2) * 2 + (x + 3) * 2

Combine like terms: -6 + 2 = -4
-4 + 2x + 2x = (x + -2) * 2 + (x + 3) * 2

Combine like terms: 2x + 2x = 4x
-4 + 4x = (x + -2) * 2 + (x + 3) * 2

Reorder the terms:
-4 + 4x = (-2 + x) * 2 + (x + 3) * 2

Reorder the terms for easier multiplication:
-4 + 4x = 2(-2 + x) + (x + 3) * 2
-4 + 4x = (-2 * 2 + x * 2) + (x + 3) * 2
-4 + 4x = (-4 + 2x) + (x + 3) * 2

Reorder the terms:
-4 + 4x = -4 + 2x + (3 + x) * 2

Reorder the terms for easier multiplication:
-4 + 4x = -4 + 2x + 2(3 + x)
-4 + 4x = -4 + 2x + (3 * 2 + x * 2)
-4 + 4x = -4 + 2x + (6 + 2x)

Reorder the terms:
-4 + 4x = -4 + 6 + 2x + 2x

Combine like terms: -4 + 6 = 2
-4 + 4x = 2 + 2x + 2x

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

Add '-4x' to each side of the equation.
-4 + 4x + -4x = 2 + 4x + -4x

Combine like terms: 4x + -4x = 0
-4 + 0 = 2 + 4x + -4x
-4 = 2 + 4x + -4x

Combine like terms: 4x + -4x = 0
-4 = 2 + 0
-4 = 2

Solving
-4 = 2

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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