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

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

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

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

Combine like terms: 8 + -2 = 6
6 + -4r = -2(r + 5) + 8r

Reorder the terms:
6 + -4r = -2(5 + r) + 8r
6 + -4r = (5 * -2 + r * -2) + 8r
6 + -4r = (-10 + -2r) + 8r

Combine like terms: -2r + 8r = 6r
6 + -4r = -10 + 6r

Solving
6 + -4r = -10 + 6r

Solving for variable 'r'.

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

Add '-6r' to each side of the equation.
6 + -4r + -6r = -10 + 6r + -6r

Combine like terms: -4r + -6r = -10r
6 + -10r = -10 + 6r + -6r

Combine like terms: 6r + -6r = 0
6 + -10r = -10 + 0
6 + -10r = -10

Add '-6' to each side of the equation.
6 + -6 + -10r = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -10r = -10 + -6
-10r = -10 + -6

Combine like terms: -10 + -6 = -16
-10r = -16

Divide each side by '-10'.
r = 1.6

Simplifying
r = 1.6