(x-1)(3x-1)-3(2x)=3x(x-1)

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


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

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

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

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

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

Remove parenthesis around (2x)
1 + -4x + 3x2 + -3 * 2x = 3x(x + -1)

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

Reorder the terms:
1 + -4x + -6x + 3x2 = 3x(x + -1)

Combine like terms: -4x + -6x = -10x
1 + -10x + 3x2 = 3x(x + -1)

Reorder the terms:
1 + -10x + 3x2 = 3x(-1 + x)
1 + -10x + 3x2 = (-1 * 3x + x * 3x)
1 + -10x + 3x2 = (-3x + 3x2)

Add '-3x2' to each side of the equation.
1 + -10x + 3x2 + -3x2 = -3x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
1 + -10x + 0 = -3x + 3x2 + -3x2
1 + -10x = -3x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
1 + -10x = -3x + 0
1 + -10x = -3x

Solving
1 + -10x = -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
1 + -10x + 3x = -3x + 3x

Combine like terms: -10x + 3x = -7x
1 + -7x = -3x + 3x

Combine like terms: -3x + 3x = 0
1 + -7x = 0

Add '-1' to each side of the equation.
1 + -1 + -7x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7x = 0 + -1
-7x = 0 + -1

Combine like terms: 0 + -1 = -1
-7x = -1

Divide each side by '-7'.
x = 0.1428571429

Simplifying
x = 0.1428571429

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