(6x^3+2x^2-8)+(4x^3-2x+9)=10x^3+2x^2-2x+1

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Solution for (6x^3+2x^2-8)+(4x^3-2x+9)=10x^3+2x^2-2x+1 equation: 


Simplifying
(6x3 + 2x2 + -8) + (4x3 + -2x + 9) = 10x3 + 2x2 + -2x + 1

Reorder the terms:
(-8 + 2x2 + 6x3) + (4x3 + -2x + 9) = 10x3 + 2x2 + -2x + 1

Remove parenthesis around (-8 + 2x2 + 6x3)
-8 + 2x2 + 6x3 + (4x3 + -2x + 9) = 10x3 + 2x2 + -2x + 1

Reorder the terms:
-8 + 2x2 + 6x3 + (9 + -2x + 4x3) = 10x3 + 2x2 + -2x + 1

Remove parenthesis around (9 + -2x + 4x3)
-8 + 2x2 + 6x3 + 9 + -2x + 4x3 = 10x3 + 2x2 + -2x + 1

Reorder the terms:
-8 + 9 + -2x + 2x2 + 6x3 + 4x3 = 10x3 + 2x2 + -2x + 1

Combine like terms: -8 + 9 = 1
1 + -2x + 2x2 + 6x3 + 4x3 = 10x3 + 2x2 + -2x + 1

Combine like terms: 6x3 + 4x3 = 10x3
1 + -2x + 2x2 + 10x3 = 10x3 + 2x2 + -2x + 1

Reorder the terms:
1 + -2x + 2x2 + 10x3 = 1 + -2x + 2x2 + 10x3

Add '-1' to each side of the equation.
1 + -2x + 2x2 + -1 + 10x3 = 1 + -2x + 2x2 + -1 + 10x3

Reorder the terms:
1 + -1 + -2x + 2x2 + 10x3 = 1 + -2x + 2x2 + -1 + 10x3

Combine like terms: 1 + -1 = 0
0 + -2x + 2x2 + 10x3 = 1 + -2x + 2x2 + -1 + 10x3
-2x + 2x2 + 10x3 = 1 + -2x + 2x2 + -1 + 10x3

Reorder the terms:
-2x + 2x2 + 10x3 = 1 + -1 + -2x + 2x2 + 10x3

Combine like terms: 1 + -1 = 0
-2x + 2x2 + 10x3 = 0 + -2x + 2x2 + 10x3
-2x + 2x2 + 10x3 = -2x + 2x2 + 10x3

Add '2x' to each side of the equation.
-2x + 2x2 + 2x + 10x3 = -2x + 2x2 + 2x + 10x3

Reorder the terms:
-2x + 2x + 2x2 + 10x3 = -2x + 2x2 + 2x + 10x3

Combine like terms: -2x + 2x = 0
0 + 2x2 + 10x3 = -2x + 2x2 + 2x + 10x3
2x2 + 10x3 = -2x + 2x2 + 2x + 10x3

Reorder the terms:
2x2 + 10x3 = -2x + 2x + 2x2 + 10x3

Combine like terms: -2x + 2x = 0
2x2 + 10x3 = 0 + 2x2 + 10x3
2x2 + 10x3 = 2x2 + 10x3

Add '-2x2' to each side of the equation.
2x2 + -2x2 + 10x3 = 2x2 + -2x2 + 10x3

Combine like terms: 2x2 + -2x2 = 0
0 + 10x3 = 2x2 + -2x2 + 10x3
10x3 = 2x2 + -2x2 + 10x3

Combine like terms: 2x2 + -2x2 = 0
10x3 = 0 + 10x3
10x3 = 10x3

Add '-10x3' to each side of the equation.
10x3 + -10x3 = 10x3 + -10x3

Combine like terms: 10x3 + -10x3 = 0
0 = 10x3 + -10x3

Combine like terms: 10x3 + -10x3 = 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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