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

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


Simplifying
(10X3 + -3x2 + 6x + -8) + -1(2x3 + -2x2 + -4x + 4) = 0

Reorder the terms:
(-8 + 10X3 + 6x + -3x2) + -1(2x3 + -2x2 + -4x + 4) = 0

Remove parenthesis around (-8 + 10X3 + 6x + -3x2)
-8 + 10X3 + 6x + -3x2 + -1(2x3 + -2x2 + -4x + 4) = 0

Reorder the terms:
-8 + 10X3 + 6x + -3x2 + -1(4 + -4x + -2x2 + 2x3) = 0
-8 + 10X3 + 6x + -3x2 + (4 * -1 + -4x * -1 + -2x2 * -1 + 2x3 * -1) = 0
-8 + 10X3 + 6x + -3x2 + (-4 + 4x + 2x2 + -2x3) = 0

Reorder the terms:
-8 + -4 + 10X3 + 6x + 4x + -3x2 + 2x2 + -2x3 = 0

Combine like terms: -8 + -4 = -12
-12 + 10X3 + 6x + 4x + -3x2 + 2x2 + -2x3 = 0

Combine like terms: 6x + 4x = 10x
-12 + 10X3 + 10x + -3x2 + 2x2 + -2x3 = 0

Combine like terms: -3x2 + 2x2 = -1x2
-12 + 10X3 + 10x + -1x2 + -2x3 = 0

Solving
-12 + 10X3 + 10x + -1x2 + -2x3 = 0

Solving for variable 'X'.

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

Add '12' to each side of the equation.
-12 + 10X3 + 10x + -1x2 + 12 + -2x3 = 0 + 12

Reorder the terms:
-12 + 12 + 10X3 + 10x + -1x2 + -2x3 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 10X3 + 10x + -1x2 + -2x3 = 0 + 12
10X3 + 10x + -1x2 + -2x3 = 0 + 12

Combine like terms: 0 + 12 = 12
10X3 + 10x + -1x2 + -2x3 = 12

Add '-10x' to each side of the equation.
10X3 + 10x + -1x2 + -10x + -2x3 = 12 + -10x

Reorder the terms:
10X3 + 10x + -10x + -1x2 + -2x3 = 12 + -10x

Combine like terms: 10x + -10x = 0
10X3 + 0 + -1x2 + -2x3 = 12 + -10x
10X3 + -1x2 + -2x3 = 12 + -10x

Add 'x2' to each side of the equation.
10X3 + -1x2 + x2 + -2x3 = 12 + -10x + x2

Combine like terms: -1x2 + x2 = 0
10X3 + 0 + -2x3 = 12 + -10x + x2
10X3 + -2x3 = 12 + -10x + x2

Add '2x3' to each side of the equation.
10X3 + -2x3 + 2x3 = 12 + -10x + x2 + 2x3

Combine like terms: -2x3 + 2x3 = 0
10X3 + 0 = 12 + -10x + x2 + 2x3
10X3 = 12 + -10x + x2 + 2x3

Divide each side by '10'.
X3 = 1.2 + -1x + 0.1x2 + 0.2x3

Simplifying
X3 = 1.2 + -1x + 0.1x2 + 0.2x3

Reorder the terms:
-1.2 + X3 + x + -0.1x2 + -0.2x3 = 1.2 + -1x + 0.1x2 + 0.2x3 + -1.2 + x + -0.1x2 + -0.2x3

Reorder the terms:
-1.2 + X3 + x + -0.1x2 + -0.2x3 = 1.2 + -1.2 + -1x + x + 0.1x2 + -0.1x2 + 0.2x3 + -0.2x3

Combine like terms: 1.2 + -1.2 = 0.0
-1.2 + X3 + x + -0.1x2 + -0.2x3 = 0.0 + -1x + x + 0.1x2 + -0.1x2 + 0.2x3 + -0.2x3
-1.2 + X3 + x + -0.1x2 + -0.2x3 = -1x + x + 0.1x2 + -0.1x2 + 0.2x3 + -0.2x3

Combine like terms: -1x + x = 0
-1.2 + X3 + x + -0.1x2 + -0.2x3 = 0 + 0.1x2 + -0.1x2 + 0.2x3 + -0.2x3
-1.2 + X3 + x + -0.1x2 + -0.2x3 = 0.1x2 + -0.1x2 + 0.2x3 + -0.2x3

Combine like terms: 0.1x2 + -0.1x2 = 0.0
-1.2 + X3 + x + -0.1x2 + -0.2x3 = 0.0 + 0.2x3 + -0.2x3
-1.2 + X3 + x + -0.1x2 + -0.2x3 = 0.2x3 + -0.2x3

Combine like terms: 0.2x3 + -0.2x3 = 0.0
-1.2 + X3 + x + -0.1x2 + -0.2x3 = 0.0

The solution to this equation could not be determined.

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