(x+2)(2-x)-7(4-3x)=-(x-4)*2

Solution for (x+2)(2-x)-7(4-3x)=-(x-4)*2 equation:

Simplifying
(x + 2)(2 + -1x) + -7(4 + -3x) = -1(x + -4) * 2

Reorder the terms:
(2 + x)(2 + -1x) + -7(4 + -3x) = -1(x + -4) * 2

Multiply (2 + x) * (2 + -1x)
(2(2 + -1x) + x(2 + -1x)) + -7(4 + -3x) = -1(x + -4) * 2
((2 * 2 + -1x * 2) + x(2 + -1x)) + -7(4 + -3x) = -1(x + -4) * 2
((4 + -2x) + x(2 + -1x)) + -7(4 + -3x) = -1(x + -4) * 2
(4 + -2x + (2 * x + -1x * x)) + -7(4 + -3x) = -1(x + -4) * 2
(4 + -2x + (2x + -1x2)) + -7(4 + -3x) = -1(x + -4) * 2

Combine like terms: -2x + 2x = 0
(4 + 0 + -1x2) + -7(4 + -3x) = -1(x + -4) * 2
(4 + -1x2) + -7(4 + -3x) = -1(x + -4) * 2
4 + -1x2 + (4 * -7 + -3x * -7) = -1(x + -4) * 2
4 + -1x2 + (-28 + 21x) = -1(x + -4) * 2

Reorder the terms:
4 + -28 + 21x + -1x2 = -1(x + -4) * 2

Combine like terms: 4 + -28 = -24
-24 + 21x + -1x2 = -1(x + -4) * 2

Reorder the terms:
-24 + 21x + -1x2 = -1(-4 + x) * 2

Reorder the terms for easier multiplication:
-24 + 21x + -1x2 = -1 * 2(-4 + x)

Multiply -1 * 2
-24 + 21x + -1x2 = -2(-4 + x)
-24 + 21x + -1x2 = (-4 * -2 + x * -2)
-24 + 21x + -1x2 = (8 + -2x)

Solving
-24 + 21x + -1x2 = 8 + -2x

Solving for variable 'x'.

Reorder the terms:
-24 + -8 + 21x + 2x + -1x2 = 8 + -2x + -8 + 2x

Combine like terms: -24 + -8 = -32
-32 + 21x + 2x + -1x2 = 8 + -2x + -8 + 2x

Combine like terms: 21x + 2x = 23x
-32 + 23x + -1x2 = 8 + -2x + -8 + 2x

Reorder the terms:
-32 + 23x + -1x2 = 8 + -8 + -2x + 2x

Combine like terms: 8 + -8 = 0
-32 + 23x + -1x2 = 0 + -2x + 2x
-32 + 23x + -1x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
-32 + 23x + -1x2 = 0

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

Divide each side by '-1'.
32 + -23x + x2 = 0

Move the constant term to the right:

Add '-32' to each side of the equation.
32 + -23x + -32 + x2 = 0 + -32

Reorder the terms:
32 + -32 + -23x + x2 = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -23x + x2 = 0 + -32
-23x + x2 = 0 + -32

Combine like terms: 0 + -32 = -32
-23x + x2 = -32

The x term is -23x.  Take half its coefficient (-11.5).
Square it (132.25) and add it to both sides.

Add '132.25' to each side of the equation.
-23x + 132.25 + x2 = -32 + 132.25

Reorder the terms:
132.25 + -23x + x2 = -32 + 132.25

Combine like terms: -32 + 132.25 = 100.25
132.25 + -23x + x2 = 100.25

Factor a perfect square on the left side:
(x + -11.5)(x + -11.5) = 100.25

Calculate the square root of the right side: 10.012492197

Break this problem into two subproblems by setting 
(x + -11.5) equal to 10.012492197 and -10.012492197.

Subproblem 1
x + -11.5 = 10.012492197

Simplifying
x + -11.5 = 10.012492197

Reorder the terms:
-11.5 + x = 10.012492197

Solving
-11.5 + x = 10.012492197

Solving for variable 'x'.

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

Add '11.5' to each side of the equation.
-11.5 + 11.5 + x = 10.012492197 + 11.5

Combine like terms: -11.5 + 11.5 = 0.0
0.0 + x = 10.012492197 + 11.5
x = 10.012492197 + 11.5

Combine like terms: 10.012492197 + 11.5 = 21.512492197
x = 21.512492197

Simplifying
x = 21.512492197

Subproblem 2
x + -11.5 = -10.012492197

Simplifying
x + -11.5 = -10.012492197

Reorder the terms:
-11.5 + x = -10.012492197

Solving
-11.5 + x = -10.012492197

Solving for variable 'x'.

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

Add '11.5' to each side of the equation.
-11.5 + 11.5 + x = -10.012492197 + 11.5

Combine like terms: -11.5 + 11.5 = 0.0
0.0 + x = -10.012492197 + 11.5
x = -10.012492197 + 11.5

Combine like terms: -10.012492197 + 11.5 = 1.487507803
x = 1.487507803

Simplifying
x = 1.487507803

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {21.512492197, 1.487507803}