(X^5-3x^3-4x+5)-(x^5+2x^3-3x+5)=0

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Solution for (X^5-3x^3-4x+5)-(x^5+2x^3-3x+5)=0 equation: 


Simplifying
(X5 + -3x3 + -4x + 5) + -1(x5 + 2x3 + -3x + 5) = 0

Reorder the terms:
(5 + X5 + -4x + -3x3) + -1(x5 + 2x3 + -3x + 5) = 0

Remove parenthesis around (5 + X5 + -4x + -3x3)
5 + X5 + -4x + -3x3 + -1(x5 + 2x3 + -3x + 5) = 0

Reorder the terms:
5 + X5 + -4x + -3x3 + -1(5 + -3x + 2x3 + x5) = 0
5 + X5 + -4x + -3x3 + (5 * -1 + -3x * -1 + 2x3 * -1 + x5 * -1) = 0
5 + X5 + -4x + -3x3 + (-5 + 3x + -2x3 + -1x5) = 0

Reorder the terms:
5 + -5 + X5 + -4x + 3x + -3x3 + -2x3 + -1x5 = 0

Combine like terms: 5 + -5 = 0
0 + X5 + -4x + 3x + -3x3 + -2x3 + -1x5 = 0
X5 + -4x + 3x + -3x3 + -2x3 + -1x5 = 0

Combine like terms: -4x + 3x = -1x
X5 + -1x + -3x3 + -2x3 + -1x5 = 0

Combine like terms: -3x3 + -2x3 = -5x3
X5 + -1x + -5x3 + -1x5 = 0

Solving
X5 + -1x + -5x3 + -1x5 = 0

Solving for variable 'X'.

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

Add 'x' to each side of the equation.
X5 + -1x + -5x3 + x + -1x5 = 0 + x

Reorder the terms:
X5 + -1x + x + -5x3 + -1x5 = 0 + x

Combine like terms: -1x + x = 0
X5 + 0 + -5x3 + -1x5 = 0 + x
X5 + -5x3 + -1x5 = 0 + x
Remove the zero:
X5 + -5x3 + -1x5 = x

Add '5x3' to each side of the equation.
X5 + -5x3 + 5x3 + -1x5 = x + 5x3

Combine like terms: -5x3 + 5x3 = 0
X5 + 0 + -1x5 = x + 5x3
X5 + -1x5 = x + 5x3

Add 'x5' to each side of the equation.
X5 + -1x5 + x5 = x + 5x3 + x5

Combine like terms: -1x5 + x5 = 0
X5 + 0 = x + 5x3 + x5
X5 = x + 5x3 + x5

Simplifying
X5 = x + 5x3 + x5

Reorder the terms:
X5 + -1x + -5x3 + -1x5 = x + -1x + 5x3 + -5x3 + x5 + -1x5

Combine like terms: x + -1x = 0
X5 + -1x + -5x3 + -1x5 = 0 + 5x3 + -5x3 + x5 + -1x5
X5 + -1x + -5x3 + -1x5 = 5x3 + -5x3 + x5 + -1x5

Combine like terms: 5x3 + -5x3 = 0
X5 + -1x + -5x3 + -1x5 = 0 + x5 + -1x5
X5 + -1x + -5x3 + -1x5 = x5 + -1x5

Combine like terms: x5 + -1x5 = 0
X5 + -1x + -5x3 + -1x5 = 0

The solution to this equation could not be determined.

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