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

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

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

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

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

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

Reorder the terms:
-2 + -2 + 1x + -1x + 1x2 = 3x(-4 + x)

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

Combine like terms: 1x + -1x = 0
-4 + 0 + 1x2 = 3x(-4 + x)
-4 + 1x2 = 3x(-4 + x)
-4 + 1x2 = (-4 * 3x + x * 3x)
-4 + 1x2 = (-12x + 3x2)

Solving
-4 + 1x2 = -12x + 3x2

Solving for variable 'x'.

Reorder the terms:
-4 + 12x + 1x2 + -3x2 = -12x + 3x2 + 12x + -3x2

Combine like terms: 1x2 + -3x2 = -2x2
-4 + 12x + -2x2 = -12x + 3x2 + 12x + -3x2

Reorder the terms:
-4 + 12x + -2x2 = -12x + 12x + 3x2 + -3x2

Combine like terms: -12x + 12x = 0
-4 + 12x + -2x2 = 0 + 3x2 + -3x2
-4 + 12x + -2x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-4 + 12x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + 6x + -1x2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-2 + 6x + -1x2)' equal to zero and attempt to solve:

Simplifying
-2 + 6x + -1x2 = 0

Solving
-2 + 6x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
2 + -6x + x2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -6x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + -6x + x2 = 0 + -2

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

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

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = -2 + 9

Reorder the terms:
9 + -6x + x2 = -2 + 9

Combine like terms: -2 + 9 = 7
9 + -6x + x2 = 7

Factor a perfect square on the left side:
(x + -3)(x + -3) = 7

Calculate the square root of the right side: 2.645751311

Break this problem into two subproblems by setting 
(x + -3) equal to 2.645751311 and -2.645751311.

Subproblem 1
x + -3 = 2.645751311

Simplifying
x + -3 = 2.645751311

Reorder the terms:
-3 + x = 2.645751311

Solving
-3 + x = 2.645751311

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + x = 2.645751311 + 3

Combine like terms: -3 + 3 = 0
0 + x = 2.645751311 + 3
x = 2.645751311 + 3

Combine like terms: 2.645751311 + 3 = 5.645751311
x = 5.645751311

Simplifying
x = 5.645751311

Subproblem 2
x + -3 = -2.645751311

Simplifying
x + -3 = -2.645751311

Reorder the terms:
-3 + x = -2.645751311

Solving
-3 + x = -2.645751311

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + x = -2.645751311 + 3

Combine like terms: -3 + 3 = 0
0 + x = -2.645751311 + 3
x = -2.645751311 + 3

Combine like terms: -2.645751311 + 3 = 0.354248689
x = 0.354248689

Simplifying
x = 0.354248689

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {5.645751311, 0.354248689}
Solution
x = {5.645751311, 0.354248689}