3(2x-11)-(-2x)*(-x+7)=-5+3(1-x)+2

Solution for 3(2x-11)-(-2x)*(-x+7)=-5+3(1-x)+2 equation:

Simplifying
3(2x + -11) + -1(-2x)(-1x + 7) = -5 + 3(1 + -1x) + 2

Reorder the terms:
3(-11 + 2x) + -1(-2x)(-1x + 7) = -5 + 3(1 + -1x) + 2
(-11 * 3 + 2x * 3) + -1(-2x)(-1x + 7) = -5 + 3(1 + -1x) + 2
(-33 + 6x) + -1(-2x)(-1x + 7) = -5 + 3(1 + -1x) + 2

Remove parenthesis around (-2x)
-33 + 6x + -1 * -2x(-1x + 7) = -5 + 3(1 + -1x) + 2

Reorder the terms:
-33 + 6x + -1 * -2x(7 + -1x) = -5 + 3(1 + -1x) + 2

Multiply -1 * -2
-33 + 6x + 2x(7 + -1x) = -5 + 3(1 + -1x) + 2
-33 + 6x + (7 * 2x + -1x * 2x) = -5 + 3(1 + -1x) + 2
-33 + 6x + (14x + -2x2) = -5 + 3(1 + -1x) + 2

Combine like terms: 6x + 14x = 20x
-33 + 20x + -2x2 = -5 + 3(1 + -1x) + 2
-33 + 20x + -2x2 = -5 + (1 * 3 + -1x * 3) + 2
-33 + 20x + -2x2 = -5 + (3 + -3x) + 2

Reorder the terms:
-33 + 20x + -2x2 = -5 + 3 + 2 + -3x

Combine like terms: -5 + 3 = -2
-33 + 20x + -2x2 = -2 + 2 + -3x

Combine like terms: -2 + 2 = 0
-33 + 20x + -2x2 = 0 + -3x
-33 + 20x + -2x2 = -3x

Solving
-33 + 20x + -2x2 = -3x

Solving for variable 'x'.

Reorder the terms:
-33 + 20x + 3x + -2x2 = -3x + 3x

Combine like terms: 20x + 3x = 23x
-33 + 23x + -2x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
-33 + 23x + -2x2 = 0

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

Divide each side by '-2'.
16.5 + -11.5x + x2 = 0

Move the constant term to the right:

Add '-16.5' to each side of the equation.
16.5 + -11.5x + -16.5 + x2 = 0 + -16.5

Reorder the terms:
16.5 + -16.5 + -11.5x + x2 = 0 + -16.5

Combine like terms: 16.5 + -16.5 = 0.0
0.0 + -11.5x + x2 = 0 + -16.5
-11.5x + x2 = 0 + -16.5

Combine like terms: 0 + -16.5 = -16.5
-11.5x + x2 = -16.5

The x term is -11.5x.  Take half its coefficient (-5.75).
Square it (33.0625) and add it to both sides.

Add '33.0625' to each side of the equation.
-11.5x + 33.0625 + x2 = -16.5 + 33.0625

Reorder the terms:
33.0625 + -11.5x + x2 = -16.5 + 33.0625

Combine like terms: -16.5 + 33.0625 = 16.5625
33.0625 + -11.5x + x2 = 16.5625

Factor a perfect square on the left side:
(x + -5.75)(x + -5.75) = 16.5625

Calculate the square root of the right side: 4.069705149

Break this problem into two subproblems by setting 
(x + -5.75) equal to 4.069705149 and -4.069705149.

Subproblem 1
x + -5.75 = 4.069705149

Simplifying
x + -5.75 = 4.069705149

Reorder the terms:
-5.75 + x = 4.069705149

Solving
-5.75 + x = 4.069705149

Solving for variable 'x'.

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

Add '5.75' to each side of the equation.
-5.75 + 5.75 + x = 4.069705149 + 5.75

Combine like terms: -5.75 + 5.75 = 0.00
0.00 + x = 4.069705149 + 5.75
x = 4.069705149 + 5.75

Combine like terms: 4.069705149 + 5.75 = 9.819705149
x = 9.819705149

Simplifying
x = 9.819705149

Subproblem 2
x + -5.75 = -4.069705149

Simplifying
x + -5.75 = -4.069705149

Reorder the terms:
-5.75 + x = -4.069705149

Solving
-5.75 + x = -4.069705149

Solving for variable 'x'.

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

Add '5.75' to each side of the equation.
-5.75 + 5.75 + x = -4.069705149 + 5.75

Combine like terms: -5.75 + 5.75 = 0.00
0.00 + x = -4.069705149 + 5.75
x = -4.069705149 + 5.75

Combine like terms: -4.069705149 + 5.75 = 1.680294851
x = 1.680294851

Simplifying
x = 1.680294851

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {9.819705149, 1.680294851}