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

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

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

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

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

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

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

Reorder the terms for easier multiplication:
-6 + 4x = 3x + -2 * -1 * 2x * x

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

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

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

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

Solving for variable 'x'.

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

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

Combine like terms: 3x + -3x = 0
-6 + 1x + -4x2 = 0 + 4x2 + -4x2
-6 + 1x + -4x2 = 4x2 + -4x2

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

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

Divide each side by '-4'.
1.5 + -0.25x + x2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + -0.25x + -1.5 + x2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + -0.25x + x2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -0.25x + x2 = 0 + -1.5
-0.25x + x2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
-0.25x + x2 = -1.5

The x term is -0.25x.  Take half its coefficient (-0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
-0.25x + 0.015625 + x2 = -1.5 + 0.015625

Reorder the terms:
0.015625 + -0.25x + x2 = -1.5 + 0.015625

Combine like terms: -1.5 + 0.015625 = -1.484375
0.015625 + -0.25x + x2 = -1.484375

Factor a perfect square on the left side:
(x + -0.125)(x + -0.125) = -1.484375

Can't calculate square root of the right side.

The solution to this equation could not be determined.