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

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

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

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

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

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

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

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

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

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

Combine like terms: -5x + -3x = -8x
-33 + 20x + -2x2 = 5 + -8x

Solving
-33 + 20x + -2x2 = 5 + -8x

Solving for variable 'x'.

Reorder the terms:
-33 + -5 + 20x + 8x + -2x2 = 5 + -8x + -5 + 8x

Combine like terms: -33 + -5 = -38
-38 + 20x + 8x + -2x2 = 5 + -8x + -5 + 8x

Combine like terms: 20x + 8x = 28x
-38 + 28x + -2x2 = 5 + -8x + -5 + 8x

Reorder the terms:
-38 + 28x + -2x2 = 5 + -5 + -8x + 8x

Combine like terms: 5 + -5 = 0
-38 + 28x + -2x2 = 0 + -8x + 8x
-38 + 28x + -2x2 = -8x + 8x

Combine like terms: -8x + 8x = 0
-38 + 28x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-19 + 14x + -1x2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-19 + 14x + -1x2)' equal to zero and attempt to solve:

Simplifying
-19 + 14x + -1x2 = 0

Solving
-19 + 14x + -1x2 = 0

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

Divide each side by '-1'.
19 + -14x + x2 = 0

Move the constant term to the right:

Add '-19' to each side of the equation.
19 + -14x + -19 + x2 = 0 + -19

Reorder the terms:
19 + -19 + -14x + x2 = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -14x + x2 = 0 + -19
-14x + x2 = 0 + -19

Combine like terms: 0 + -19 = -19
-14x + x2 = -19

The x term is -14x.  Take half its coefficient (-7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
-14x + 49 + x2 = -19 + 49

Reorder the terms:
49 + -14x + x2 = -19 + 49

Combine like terms: -19 + 49 = 30
49 + -14x + x2 = 30

Factor a perfect square on the left side:
(x + -7)(x + -7) = 30

Calculate the square root of the right side: 5.477225575

Break this problem into two subproblems by setting 
(x + -7) equal to 5.477225575 and -5.477225575.

Subproblem 1
x + -7 = 5.477225575

Simplifying
x + -7 = 5.477225575

Reorder the terms:
-7 + x = 5.477225575

Solving
-7 + x = 5.477225575

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + x = 5.477225575 + 7

Combine like terms: -7 + 7 = 0
0 + x = 5.477225575 + 7
x = 5.477225575 + 7

Combine like terms: 5.477225575 + 7 = 12.477225575
x = 12.477225575

Simplifying
x = 12.477225575

Subproblem 2
x + -7 = -5.477225575

Simplifying
x + -7 = -5.477225575

Reorder the terms:
-7 + x = -5.477225575

Solving
-7 + x = -5.477225575

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + x = -5.477225575 + 7

Combine like terms: -7 + 7 = 0
0 + x = -5.477225575 + 7
x = -5.477225575 + 7

Combine like terms: -5.477225575 + 7 = 1.522774425
x = 1.522774425

Simplifying
x = 1.522774425

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {12.477225575, 1.522774425}
Solution
x = {12.477225575, 1.522774425}