(7x^2+8x-5)-(4x^2-3X)-(-6x^3-5x^2+1)=

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Solution for (7x^2+8x-5)-(4x^2-3X)-(-6x^3-5x^2+1)= equation: 


Simplifying
(7x2 + 8x + -5) + -1(4x2 + -3X) + -1(-6x3 + -5x2 + 1) = 0

Reorder the terms:
(-5 + 8x + 7x2) + -1(4x2 + -3X) + -1(-6x3 + -5x2 + 1) = 0

Remove parenthesis around (-5 + 8x + 7x2)
-5 + 8x + 7x2 + -1(4x2 + -3X) + -1(-6x3 + -5x2 + 1) = 0

Reorder the terms:
-5 + 8x + 7x2 + -1(-3X + 4x2) + -1(-6x3 + -5x2 + 1) = 0
-5 + 8x + 7x2 + (-3X * -1 + 4x2 * -1) + -1(-6x3 + -5x2 + 1) = 0
-5 + 8x + 7x2 + (3X + -4x2) + -1(-6x3 + -5x2 + 1) = 0

Reorder the terms:
-5 + 8x + 7x2 + 3X + -4x2 + -1(1 + -5x2 + -6x3) = 0
-5 + 8x + 7x2 + 3X + -4x2 + (1 * -1 + -5x2 * -1 + -6x3 * -1) = 0
-5 + 8x + 7x2 + 3X + -4x2 + (-1 + 5x2 + 6x3) = 0

Reorder the terms:
-5 + -1 + 3X + 8x + 7x2 + -4x2 + 5x2 + 6x3 = 0

Combine like terms: -5 + -1 = -6
-6 + 3X + 8x + 7x2 + -4x2 + 5x2 + 6x3 = 0

Combine like terms: 7x2 + -4x2 = 3x2
-6 + 3X + 8x + 3x2 + 5x2 + 6x3 = 0

Combine like terms: 3x2 + 5x2 = 8x2
-6 + 3X + 8x + 8x2 + 6x3 = 0

Solving
-6 + 3X + 8x + 8x2 + 6x3 = 0

Solving for variable 'X'.

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

Add '6' to each side of the equation.
-6 + 3X + 8x + 8x2 + 6 + 6x3 = 0 + 6

Reorder the terms:
-6 + 6 + 3X + 8x + 8x2 + 6x3 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 3X + 8x + 8x2 + 6x3 = 0 + 6
3X + 8x + 8x2 + 6x3 = 0 + 6

Combine like terms: 0 + 6 = 6
3X + 8x + 8x2 + 6x3 = 6

Add '-8x' to each side of the equation.
3X + 8x + 8x2 + -8x + 6x3 = 6 + -8x

Reorder the terms:
3X + 8x + -8x + 8x2 + 6x3 = 6 + -8x

Combine like terms: 8x + -8x = 0
3X + 0 + 8x2 + 6x3 = 6 + -8x
3X + 8x2 + 6x3 = 6 + -8x

Add '-8x2' to each side of the equation.
3X + 8x2 + -8x2 + 6x3 = 6 + -8x + -8x2

Combine like terms: 8x2 + -8x2 = 0
3X + 0 + 6x3 = 6 + -8x + -8x2
3X + 6x3 = 6 + -8x + -8x2

Add '-6x3' to each side of the equation.
3X + 6x3 + -6x3 = 6 + -8x + -8x2 + -6x3

Combine like terms: 6x3 + -6x3 = 0
3X + 0 = 6 + -8x + -8x2 + -6x3
3X = 6 + -8x + -8x2 + -6x3

Divide each side by '3'.
X = 2 + -2.666666667x + -2.666666667x2 + -2x3

Simplifying
X = 2 + -2.666666667x + -2.666666667x2 + -2x3

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