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

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


Simplifying
X + -3x(x + -1) = 6 + -4(2x2 + 3) + 5x2

Reorder the terms:
X + -3x(-1 + x) = 6 + -4(2x2 + 3) + 5x2
X + (-1 * -3x + x * -3x) = 6 + -4(2x2 + 3) + 5x2
X + (3x + -3x2) = 6 + -4(2x2 + 3) + 5x2

Reorder the terms:
X + 3x + -3x2 = 6 + -4(3 + 2x2) + 5x2
X + 3x + -3x2 = 6 + (3 * -4 + 2x2 * -4) + 5x2
X + 3x + -3x2 = 6 + (-12 + -8x2) + 5x2

Combine like terms: 6 + -12 = -6
X + 3x + -3x2 = -6 + -8x2 + 5x2

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

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

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

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

Solving
X + 3x = -6

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.
X + 3x + -3x = -6 + -3x

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

Simplifying
X = -6 + -3x

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