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

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


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

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

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

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

Combine like terms: -4x + -3x = -7x
-7x + 3x2 + 3x2 = (6x + 3)(x + -2)

Combine like terms: 3x2 + 3x2 = 6x2
-7x + 6x2 = (6x + 3)(x + -2)

Reorder the terms:
-7x + 6x2 = (3 + 6x)(x + -2)

Reorder the terms:
-7x + 6x2 = (3 + 6x)(-2 + x)

Multiply (3 + 6x) * (-2 + x)
-7x + 6x2 = (3(-2 + x) + 6x * (-2 + x))
-7x + 6x2 = ((-2 * 3 + x * 3) + 6x * (-2 + x))
-7x + 6x2 = ((-6 + 3x) + 6x * (-2 + x))
-7x + 6x2 = (-6 + 3x + (-2 * 6x + x * 6x))
-7x + 6x2 = (-6 + 3x + (-12x + 6x2))

Combine like terms: 3x + -12x = -9x
-7x + 6x2 = (-6 + -9x + 6x2)

Add '-6x2' to each side of the equation.
-7x + 6x2 + -6x2 = -6 + -9x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-7x + 0 = -6 + -9x + 6x2 + -6x2
-7x = -6 + -9x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-7x = -6 + -9x + 0
-7x = -6 + -9x

Solving
-7x = -6 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-7x + 9x = -6 + -9x + 9x

Combine like terms: -7x + 9x = 2x
2x = -6 + -9x + 9x

Combine like terms: -9x + 9x = 0
2x = -6 + 0
2x = -6

Divide each side by '2'.
x = -3

Simplifying
x = -3

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