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

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


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

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

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

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

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

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

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

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

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

Remove parenthesis around (-1 + 2x)
-6 + 4x = -1 + 2x + 2x(-1 + 2x)
-6 + 4x = -1 + 2x + (-1 * 2x + 2x * 2x)
-6 + 4x = -1 + 2x + (-2x + 4x2)

Combine like terms: 2x + -2x = 0
-6 + 4x = -1 + 0 + 4x2
-6 + 4x = -1 + 4x2

Solving
-6 + 4x = -1 + 4x2

Solving for variable 'x'.

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

Combine like terms: -6 + 1 = -5
-5 + 4x + -4x2 = -1 + 4x2 + 1 + -4x2

Reorder the terms:
-5 + 4x + -4x2 = -1 + 1 + 4x2 + -4x2

Combine like terms: -1 + 1 = 0
-5 + 4x + -4x2 = 0 + 4x2 + -4x2
-5 + 4x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-5 + 4x + -4x2 = 0

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
1.25 + -1x + x2 = 0

Move the constant term to the right:

Add '-1.25' to each side of the equation.
1.25 + -1x + -1.25 + x2 = 0 + -1.25

Reorder the terms:
1.25 + -1.25 + -1x + x2 = 0 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + -1x + x2 = 0 + -1.25
-1x + x2 = 0 + -1.25

Combine like terms: 0 + -1.25 = -1.25
-1x + x2 = -1.25

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -1.25 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -1.25 + 0.25

Combine like terms: -1.25 + 0.25 = -1
0.25 + -1x + x2 = -1

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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