(x^3+3x^2+3x+1)-(x^3-3x^2+3x-1)=6x(x-3)

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Solution for (x^3+3x^2+3x+1)-(x^3-3x^2+3x-1)=6x(x-3) equation: 


Simplifying
(x3 + 3x2 + 3x + 1) + -1(x3 + -3x2 + 3x + -1) = 6x(x + -3)

Reorder the terms:
(1 + 3x + 3x2 + x3) + -1(x3 + -3x2 + 3x + -1) = 6x(x + -3)

Remove parenthesis around (1 + 3x + 3x2 + x3)
1 + 3x + 3x2 + x3 + -1(x3 + -3x2 + 3x + -1) = 6x(x + -3)

Reorder the terms:
1 + 3x + 3x2 + x3 + -1(-1 + 3x + -3x2 + x3) = 6x(x + -3)
1 + 3x + 3x2 + x3 + (-1 * -1 + 3x * -1 + -3x2 * -1 + x3 * -1) = 6x(x + -3)
1 + 3x + 3x2 + x3 + (1 + -3x + 3x2 + -1x3) = 6x(x + -3)

Reorder the terms:
1 + 1 + 3x + -3x + 3x2 + 3x2 + x3 + -1x3 = 6x(x + -3)

Combine like terms: 1 + 1 = 2
2 + 3x + -3x + 3x2 + 3x2 + x3 + -1x3 = 6x(x + -3)

Combine like terms: 3x + -3x = 0
2 + 0 + 3x2 + 3x2 + x3 + -1x3 = 6x(x + -3)
2 + 3x2 + 3x2 + x3 + -1x3 = 6x(x + -3)

Combine like terms: 3x2 + 3x2 = 6x2
2 + 6x2 + x3 + -1x3 = 6x(x + -3)

Combine like terms: x3 + -1x3 = 0
2 + 6x2 + 0 = 6x(x + -3)
2 + 6x2 = 6x(x + -3)

Reorder the terms:
2 + 6x2 = 6x(-3 + x)
2 + 6x2 = (-3 * 6x + x * 6x)
2 + 6x2 = (-18x + 6x2)

Add '-6x2' to each side of the equation.
2 + 6x2 + -6x2 = -18x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
2 + 0 = -18x + 6x2 + -6x2
2 = -18x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
2 = -18x + 0
2 = -18x

Solving
2 = -18x

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
2 + 18x = -18x + 18x

Combine like terms: -18x + 18x = 0
2 + 18x = 0

Add '-2' to each side of the equation.
2 + -2 + 18x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 18x = 0 + -2
18x = 0 + -2

Combine like terms: 0 + -2 = -2
18x = -2

Divide each side by '18'.
x = -0.1111111111

Simplifying
x = -0.1111111111

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