(X-3)2+2=(X+5)2-8

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Solution for (X-3)2+2=(X+5)2-8 equation: 


Simplifying
(X + -3) * 2 + 2 = (X + 5) * 2 + -8

Reorder the terms:
(-3 + X) * 2 + 2 = (X + 5) * 2 + -8

Reorder the terms for easier multiplication:
2(-3 + X) + 2 = (X + 5) * 2 + -8
(-3 * 2 + X * 2) + 2 = (X + 5) * 2 + -8
(-6 + 2X) + 2 = (X + 5) * 2 + -8

Reorder the terms:
-6 + 2 + 2X = (X + 5) * 2 + -8

Combine like terms: -6 + 2 = -4
-4 + 2X = (X + 5) * 2 + -8

Reorder the terms:
-4 + 2X = (5 + X) * 2 + -8

Reorder the terms for easier multiplication:
-4 + 2X = 2(5 + X) + -8
-4 + 2X = (5 * 2 + X * 2) + -8
-4 + 2X = (10 + 2X) + -8

Reorder the terms:
-4 + 2X = 10 + -8 + 2X

Combine like terms: 10 + -8 = 2
-4 + 2X = 2 + 2X

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

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

Combine like terms: 2X + -2X = 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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