x(3x-6)=(3x+2)(x-4)

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Solution for x(3x-6)=(3x+2)(x-4) equation:


Simplifying
x(3x + -6) = (3x + 2)(x + -4)

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

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

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

Multiply (2 + 3x) * (-4 + x)
-6x + 3x2 = (2(-4 + x) + 3x * (-4 + x))
-6x + 3x2 = ((-4 * 2 + x * 2) + 3x * (-4 + x))
-6x + 3x2 = ((-8 + 2x) + 3x * (-4 + x))
-6x + 3x2 = (-8 + 2x + (-4 * 3x + x * 3x))
-6x + 3x2 = (-8 + 2x + (-12x + 3x2))

Combine like terms: 2x + -12x = -10x
-6x + 3x2 = (-8 + -10x + 3x2)

Add '-3x2' to each side of the equation.
-6x + 3x2 + -3x2 = -8 + -10x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-6x + 0 = -8 + -10x + 3x2 + -3x2
-6x = -8 + -10x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-6x = -8 + -10x + 0
-6x = -8 + -10x

Solving
-6x = -8 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-6x + 10x = -8 + -10x + 10x

Combine like terms: -6x + 10x = 4x
4x = -8 + -10x + 10x

Combine like terms: -10x + 10x = 0
4x = -8 + 0
4x = -8

Divide each side by '4'.
x = -2

Simplifying
x = -2

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