x(3x-8)=(3x+2)(x-2)

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Solution for x(3x-8)=(3x+2)(x-2) equation:


Simplifying
x(3x + -8) = (3x + 2)(x + -2)

Reorder the terms:
x(-8 + 3x) = (3x + 2)(x + -2)
(-8 * x + 3x * x) = (3x + 2)(x + -2)
(-8x + 3x2) = (3x + 2)(x + -2)

Reorder the terms:
-8x + 3x2 = (2 + 3x)(x + -2)

Reorder the terms:
-8x + 3x2 = (2 + 3x)(-2 + x)

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

Combine like terms: 2x + -6x = -4x
-8x + 3x2 = (-4 + -4x + 3x2)

Add '-3x2' to each side of the equation.
-8x + 3x2 + -3x2 = -4 + -4x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-8x + 0 = -4 + -4x + 3x2 + -3x2
-8x = -4 + -4x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-8x = -4 + -4x + 0
-8x = -4 + -4x

Solving
-8x = -4 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-8x + 4x = -4 + -4x + 4x

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

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

Divide each side by '-4'.
x = 1

Simplifying
x = 1

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