(x*x*x)-3x+1=(x*x*x)+2x-2

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


Simplifying
(x * x * x) + -3x + 1 = (x * x * x) + 2x + -2

Multiply x * x
(x2 * x) + -3x + 1 = (x * x * x) + 2x + -2

Multiply x2 * x
(x3) + -3x + 1 = (x * x * x) + 2x + -2
x3 + -3x + 1 = (x * x * x) + 2x + -2

Reorder the terms:
1 + -3x + x3 = (x * x * x) + 2x + -2

Multiply x * x
1 + -3x + x3 = (x2 * x) + 2x + -2

Multiply x2 * x
1 + -3x + x3 = (x3) + 2x + -2
1 + -3x + x3 = x3 + 2x + -2

Reorder the terms:
1 + -3x + x3 = -2 + 2x + x3

Add '-1x3' to each side of the equation.
1 + -3x + x3 + -1x3 = -2 + 2x + x3 + -1x3

Combine like terms: x3 + -1x3 = 0
1 + -3x + 0 = -2 + 2x + x3 + -1x3
1 + -3x = -2 + 2x + x3 + -1x3

Combine like terms: x3 + -1x3 = 0
1 + -3x = -2 + 2x + 0
1 + -3x = -2 + 2x

Solving
1 + -3x = -2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
1 + -3x + -2x = -2 + 2x + -2x

Combine like terms: -3x + -2x = -5x
1 + -5x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
1 + -5x = -2 + 0
1 + -5x = -2

Add '-1' to each side of the equation.
1 + -1 + -5x = -2 + -1

Combine like terms: 1 + -1 = 0
0 + -5x = -2 + -1
-5x = -2 + -1

Combine like terms: -2 + -1 = -3
-5x = -3

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6

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