(2x-3)*2=3x-2(x-2x)x

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

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

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

Reorder the terms for easier multiplication:
2(-3 + 2x) = 3x + -2(x + -2x) * x
(-3 * 2 + 2x * 2) = 3x + -2(x + -2x) * x
(-6 + 4x) = 3x + -2(x + -2x) * x

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

Remove parenthesis around (-1x)
-6 + 4x = 3x + -2 * -1x * x

Multiply -2 * -1
-6 + 4x = 3x + 2x * x

Multiply x * x
-6 + 4x = 3x + 2x2

Solving
-6 + 4x = 3x + 2x2

Solving for variable 'x'.

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

Reorder the terms:
-6 + 1x + -2x2 = 3x + -3x + 2x2 + -2x2

Combine like terms: 3x + -3x = 0
-6 + 1x + -2x2 = 0 + 2x2 + -2x2
-6 + 1x + -2x2 = 2x2 + -2x2

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

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
3 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -0.5x + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + -0.5x + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -0.5x + x2 = 0 + -3
-0.5x + x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-0.5x + x2 = -3

The x term is -0.5x.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5x + 0.0625 + x2 = -3 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -3 + 0.0625

Combine like terms: -3 + 0.0625 = -2.9375
0.0625 + -0.5x + x2 = -2.9375

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = -2.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.