x(3x-6)=(3x+6)(x-8)

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Solution for x(3x-6)=(3x+6)(x-8) equation:


Simplifying
x(3x + -6) = (3x + 6)(x + -8)

Reorder the terms:
x(-6 + 3x) = (3x + 6)(x + -8)
(-6 * x + 3x * x) = (3x + 6)(x + -8)
(-6x + 3x2) = (3x + 6)(x + -8)

Reorder the terms:
-6x + 3x2 = (6 + 3x)(x + -8)

Reorder the terms:
-6x + 3x2 = (6 + 3x)(-8 + x)

Multiply (6 + 3x) * (-8 + x)
-6x + 3x2 = (6(-8 + x) + 3x * (-8 + x))
-6x + 3x2 = ((-8 * 6 + x * 6) + 3x * (-8 + x))
-6x + 3x2 = ((-48 + 6x) + 3x * (-8 + x))
-6x + 3x2 = (-48 + 6x + (-8 * 3x + x * 3x))
-6x + 3x2 = (-48 + 6x + (-24x + 3x2))

Combine like terms: 6x + -24x = -18x
-6x + 3x2 = (-48 + -18x + 3x2)

Add '-3x2' to each side of the equation.
-6x + 3x2 + -3x2 = -48 + -18x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-6x + 0 = -48 + -18x + 3x2 + -3x2
-6x = -48 + -18x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-6x = -48 + -18x + 0
-6x = -48 + -18x

Solving
-6x = -48 + -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.
-6x + 18x = -48 + -18x + 18x

Combine like terms: -6x + 18x = 12x
12x = -48 + -18x + 18x

Combine like terms: -18x + 18x = 0
12x = -48 + 0
12x = -48

Divide each side by '12'.
x = -4

Simplifying
x = -4

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