(2x^2+5y+3)-(8y^3-6x+5)=-8x^3+2x^2+11x-2

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Solution for (2x^2+5y+3)-(8y^3-6x+5)=-8x^3+2x^2+11x-2 equation: 


Simplifying
(2x2 + 5y + 3) + -1(8y3 + -6x + 5) = -8x3 + 2x2 + 11x + -2

Reorder the terms:
(3 + 2x2 + 5y) + -1(8y3 + -6x + 5) = -8x3 + 2x2 + 11x + -2

Remove parenthesis around (3 + 2x2 + 5y)
3 + 2x2 + 5y + -1(8y3 + -6x + 5) = -8x3 + 2x2 + 11x + -2

Reorder the terms:
3 + 2x2 + 5y + -1(5 + -6x + 8y3) = -8x3 + 2x2 + 11x + -2
3 + 2x2 + 5y + (5 * -1 + -6x * -1 + 8y3 * -1) = -8x3 + 2x2 + 11x + -2
3 + 2x2 + 5y + (-5 + 6x + -8y3) = -8x3 + 2x2 + 11x + -2

Reorder the terms:
3 + -5 + 6x + 2x2 + 5y + -8y3 = -8x3 + 2x2 + 11x + -2

Combine like terms: 3 + -5 = -2
-2 + 6x + 2x2 + 5y + -8y3 = -8x3 + 2x2 + 11x + -2

Reorder the terms:
-2 + 6x + 2x2 + 5y + -8y3 = -2 + 11x + 2x2 + -8x3

Add '2' to each side of the equation.
-2 + 6x + 2x2 + 5y + 2 + -8y3 = -2 + 11x + 2x2 + 2 + -8x3

Reorder the terms:
-2 + 2 + 6x + 2x2 + 5y + -8y3 = -2 + 11x + 2x2 + 2 + -8x3

Combine like terms: -2 + 2 = 0
0 + 6x + 2x2 + 5y + -8y3 = -2 + 11x + 2x2 + 2 + -8x3
6x + 2x2 + 5y + -8y3 = -2 + 11x + 2x2 + 2 + -8x3

Reorder the terms:
6x + 2x2 + 5y + -8y3 = -2 + 2 + 11x + 2x2 + -8x3

Combine like terms: -2 + 2 = 0
6x + 2x2 + 5y + -8y3 = 0 + 11x + 2x2 + -8x3
6x + 2x2 + 5y + -8y3 = 11x + 2x2 + -8x3

Add '-2x2' to each side of the equation.
6x + 2x2 + 5y + -2x2 + -8y3 = 11x + 2x2 + -2x2 + -8x3

Reorder the terms:
6x + 2x2 + -2x2 + 5y + -8y3 = 11x + 2x2 + -2x2 + -8x3

Combine like terms: 2x2 + -2x2 = 0
6x + 0 + 5y + -8y3 = 11x + 2x2 + -2x2 + -8x3
6x + 5y + -8y3 = 11x + 2x2 + -2x2 + -8x3

Combine like terms: 2x2 + -2x2 = 0
6x + 5y + -8y3 = 11x + 0 + -8x3
6x + 5y + -8y3 = 11x + -8x3

Solving
6x + 5y + -8y3 = 11x + -8x3

Solving for variable 'x'.

Reorder the terms:
6x + -11x + 8x3 + 5y + -8y3 = 11x + -8x3 + -11x + 8x3

Combine like terms: 6x + -11x = -5x
-5x + 8x3 + 5y + -8y3 = 11x + -8x3 + -11x + 8x3

Reorder the terms:
-5x + 8x3 + 5y + -8y3 = 11x + -11x + -8x3 + 8x3

Combine like terms: 11x + -11x = 0
-5x + 8x3 + 5y + -8y3 = 0 + -8x3 + 8x3
-5x + 8x3 + 5y + -8y3 = -8x3 + 8x3

Combine like terms: -8x3 + 8x3 = 0
-5x + 8x3 + 5y + -8y3 = 0

The solution to this equation could not be determined.

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