(2x-1)(3x-1)=(6x+2)(x-4)

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


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

Reorder the terms:
(-1 + 2x)(3x + -1) = (6x + 2)(x + -4)

Reorder the terms:
(-1 + 2x)(-1 + 3x) = (6x + 2)(x + -4)

Multiply (-1 + 2x) * (-1 + 3x)
(-1(-1 + 3x) + 2x * (-1 + 3x)) = (6x + 2)(x + -4)
((-1 * -1 + 3x * -1) + 2x * (-1 + 3x)) = (6x + 2)(x + -4)
((1 + -3x) + 2x * (-1 + 3x)) = (6x + 2)(x + -4)
(1 + -3x + (-1 * 2x + 3x * 2x)) = (6x + 2)(x + -4)
(1 + -3x + (-2x + 6x2)) = (6x + 2)(x + -4)

Combine like terms: -3x + -2x = -5x
(1 + -5x + 6x2) = (6x + 2)(x + -4)

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

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

Multiply (2 + 6x) * (-4 + x)
1 + -5x + 6x2 = (2(-4 + x) + 6x * (-4 + x))
1 + -5x + 6x2 = ((-4 * 2 + x * 2) + 6x * (-4 + x))
1 + -5x + 6x2 = ((-8 + 2x) + 6x * (-4 + x))
1 + -5x + 6x2 = (-8 + 2x + (-4 * 6x + x * 6x))
1 + -5x + 6x2 = (-8 + 2x + (-24x + 6x2))

Combine like terms: 2x + -24x = -22x
1 + -5x + 6x2 = (-8 + -22x + 6x2)

Add '-6x2' to each side of the equation.
1 + -5x + 6x2 + -6x2 = -8 + -22x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
1 + -5x + 0 = -8 + -22x + 6x2 + -6x2
1 + -5x = -8 + -22x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
1 + -5x = -8 + -22x + 0
1 + -5x = -8 + -22x

Solving
1 + -5x = -8 + -22x

Solving for variable 'x'.

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

Add '22x' to each side of the equation.
1 + -5x + 22x = -8 + -22x + 22x

Combine like terms: -5x + 22x = 17x
1 + 17x = -8 + -22x + 22x

Combine like terms: -22x + 22x = 0
1 + 17x = -8 + 0
1 + 17x = -8

Add '-1' to each side of the equation.
1 + -1 + 17x = -8 + -1

Combine like terms: 1 + -1 = 0
0 + 17x = -8 + -1
17x = -8 + -1

Combine like terms: -8 + -1 = -9
17x = -9

Divide each side by '17'.
x = -0.5294117647

Simplifying
x = -0.5294117647

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