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

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


Simplifying
(2x2 + 5x + 3) + (8x3 + 6x + 5) = 8x3 + 2x2 + 11x + 8

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

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

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

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

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

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

Combine like terms: 5x + 6x = 11x
8 + 11x + 2x2 + 8x3 = 8x3 + 2x2 + 11x + 8

Reorder the terms:
8 + 11x + 2x2 + 8x3 = 8 + 11x + 2x2 + 8x3

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

Reorder the terms:
8 + -8 + 11x + 2x2 + 8x3 = 8 + 11x + 2x2 + -8 + 8x3

Combine like terms: 8 + -8 = 0
0 + 11x + 2x2 + 8x3 = 8 + 11x + 2x2 + -8 + 8x3
11x + 2x2 + 8x3 = 8 + 11x + 2x2 + -8 + 8x3

Reorder the terms:
11x + 2x2 + 8x3 = 8 + -8 + 11x + 2x2 + 8x3

Combine like terms: 8 + -8 = 0
11x + 2x2 + 8x3 = 0 + 11x + 2x2 + 8x3
11x + 2x2 + 8x3 = 11x + 2x2 + 8x3

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

Reorder the terms:
11x + -11x + 2x2 + 8x3 = 11x + 2x2 + -11x + 8x3

Combine like terms: 11x + -11x = 0
0 + 2x2 + 8x3 = 11x + 2x2 + -11x + 8x3
2x2 + 8x3 = 11x + 2x2 + -11x + 8x3

Reorder the terms:
2x2 + 8x3 = 11x + -11x + 2x2 + 8x3

Combine like terms: 11x + -11x = 0
2x2 + 8x3 = 0 + 2x2 + 8x3
2x2 + 8x3 = 2x2 + 8x3

Add '-2x2' to each side of the equation.
2x2 + -2x2 + 8x3 = 2x2 + -2x2 + 8x3

Combine like terms: 2x2 + -2x2 = 0
0 + 8x3 = 2x2 + -2x2 + 8x3
8x3 = 2x2 + -2x2 + 8x3

Combine like terms: 2x2 + -2x2 = 0
8x3 = 0 + 8x3
8x3 = 8x3

Add '-8x3' to each side of the equation.
8x3 + -8x3 = 8x3 + -8x3

Combine like terms: 8x3 + -8x3 = 0
0 = 8x3 + -8x3

Combine like terms: 8x3 + -8x3 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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