2(4-2r)-5=-2(r+5)8r

Solution for 2(4-2r)-5=-2(r+5)8r equation:

Simplifying
2(4 + -2r) + -5 = -2(r + 5) * 8r
(4 * 2 + -2r * 2) + -5 = -2(r + 5) * 8r
(8 + -4r) + -5 = -2(r + 5) * 8r

Reorder the terms:
8 + -5 + -4r = -2(r + 5) * 8r

Combine like terms: 8 + -5 = 3
3 + -4r = -2(r + 5) * 8r

Reorder the terms:
3 + -4r = -2(5 + r) * 8r

Reorder the terms for easier multiplication:
3 + -4r = -2 * 8r(5 + r)

Multiply -2 * 8
3 + -4r = -16r(5 + r)
3 + -4r = (5 * -16r + r * -16r)
3 + -4r = (-80r + -16r2)

Solving
3 + -4r = -80r + -16r2

Solving for variable 'r'.

Combine like terms: -4r + 80r = 76r
3 + 76r + 16r2 = -80r + -16r2 + 80r + 16r2

Reorder the terms:
3 + 76r + 16r2 = -80r + 80r + -16r2 + 16r2

Combine like terms: -80r + 80r = 0
3 + 76r + 16r2 = 0 + -16r2 + 16r2
3 + 76r + 16r2 = -16r2 + 16r2

Combine like terms: -16r2 + 16r2 = 0
3 + 76r + 16r2 = 0

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

Divide each side by '16'.
0.1875 + 4.75r + r2 = 0

Move the constant term to the right:

Add '-0.1875' to each side of the equation.
0.1875 + 4.75r + -0.1875 + r2 = 0 + -0.1875

Reorder the terms:
0.1875 + -0.1875 + 4.75r + r2 = 0 + -0.1875

Combine like terms: 0.1875 + -0.1875 = 0.0000
0.0000 + 4.75r + r2 = 0 + -0.1875
4.75r + r2 = 0 + -0.1875

Combine like terms: 0 + -0.1875 = -0.1875
4.75r + r2 = -0.1875

The r term is 4.75r.  Take half its coefficient (2.375).
Square it (5.640625) and add it to both sides.

Add '5.640625' to each side of the equation.
4.75r + 5.640625 + r2 = -0.1875 + 5.640625

Reorder the terms:
5.640625 + 4.75r + r2 = -0.1875 + 5.640625

Combine like terms: -0.1875 + 5.640625 = 5.453125
5.640625 + 4.75r + r2 = 5.453125

Factor a perfect square on the left side:
(r + 2.375)(r + 2.375) = 5.453125

Calculate the square root of the right side: 2.335192712

Break this problem into two subproblems by setting 
(r + 2.375) equal to 2.335192712 and -2.335192712.

Subproblem 1
r + 2.375 = 2.335192712

Simplifying
r + 2.375 = 2.335192712

Reorder the terms:
2.375 + r = 2.335192712

Solving
2.375 + r = 2.335192712

Solving for variable 'r'.

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

Add '-2.375' to each side of the equation.
2.375 + -2.375 + r = 2.335192712 + -2.375

Combine like terms: 2.375 + -2.375 = 0.000
0.000 + r = 2.335192712 + -2.375
r = 2.335192712 + -2.375

Combine like terms: 2.335192712 + -2.375 = -0.039807288
r = -0.039807288

Simplifying
r = -0.039807288

Subproblem 2
r + 2.375 = -2.335192712

Simplifying
r + 2.375 = -2.335192712

Reorder the terms:
2.375 + r = -2.335192712

Solving
2.375 + r = -2.335192712

Solving for variable 'r'.

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

Add '-2.375' to each side of the equation.
2.375 + -2.375 + r = -2.335192712 + -2.375

Combine like terms: 2.375 + -2.375 = 0.000
0.000 + r = -2.335192712 + -2.375
r = -2.335192712 + -2.375

Combine like terms: -2.335192712 + -2.375 = -4.710192712
r = -4.710192712

Simplifying
r = -4.710192712

Solution
The solution to the problem is based on the solutions
from the subproblems.
r = {-0.039807288, -4.710192712}