x^2(2x-3)-4(x-1)=-3(x+x^2)+2(x^3-3)

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Solution for x^2(2x-3)-4(x-1)=-3(x+x^2)+2(x^3-3) equation: 


Simplifying
x2(2x + -3) + -4(x + -1) = -3(x + x2) + 2(x3 + -3)

Reorder the terms:
x2(-3 + 2x) + -4(x + -1) = -3(x + x2) + 2(x3 + -3)
(-3 * x2 + 2x * x2) + -4(x + -1) = -3(x + x2) + 2(x3 + -3)
(-3x2 + 2x3) + -4(x + -1) = -3(x + x2) + 2(x3 + -3)

Reorder the terms:
-3x2 + 2x3 + -4(-1 + x) = -3(x + x2) + 2(x3 + -3)
-3x2 + 2x3 + (-1 * -4 + x * -4) = -3(x + x2) + 2(x3 + -3)
-3x2 + 2x3 + (4 + -4x) = -3(x + x2) + 2(x3 + -3)

Reorder the terms:
4 + -4x + -3x2 + 2x3 = -3(x + x2) + 2(x3 + -3)
4 + -4x + -3x2 + 2x3 = (x * -3 + x2 * -3) + 2(x3 + -3)
4 + -4x + -3x2 + 2x3 = (-3x + -3x2) + 2(x3 + -3)

Reorder the terms:
4 + -4x + -3x2 + 2x3 = -3x + -3x2 + 2(-3 + x3)
4 + -4x + -3x2 + 2x3 = -3x + -3x2 + (-3 * 2 + x3 * 2)
4 + -4x + -3x2 + 2x3 = -3x + -3x2 + (-6 + 2x3)

Reorder the terms:
4 + -4x + -3x2 + 2x3 = -6 + -3x + -3x2 + 2x3

Add '3x2' to each side of the equation.
4 + -4x + -3x2 + 3x2 + 2x3 = -6 + -3x + -3x2 + 3x2 + 2x3

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

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

Add '-2x3' to each side of the equation.
4 + -4x + 2x3 + -2x3 = -6 + -3x + 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
4 + -4x + 0 = -6 + -3x + 2x3 + -2x3
4 + -4x = -6 + -3x + 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
4 + -4x = -6 + -3x + 0
4 + -4x = -6 + -3x

Solving
4 + -4x = -6 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
4 + -4x + 3x = -6 + -3x + 3x

Combine like terms: -4x + 3x = -1x
4 + -1x = -6 + -3x + 3x

Combine like terms: -3x + 3x = 0
4 + -1x = -6 + 0
4 + -1x = -6

Add '-4' to each side of the equation.
4 + -4 + -1x = -6 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = -6 + -4
-1x = -6 + -4

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

Divide each side by '-1'.
x = 10

Simplifying
x = 10

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