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

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

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

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

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

Reorder the terms:
3 + -4r = 2(5 + r) + r
3 + -4r = (5 * 2 + r * 2) + r
3 + -4r = (10 + 2r) + r

Combine like terms: 2r + r = 3r
3 + -4r = 10 + 3r

Solving
3 + -4r = 10 + 3r

Solving for variable 'r'.

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

Add '-3r' to each side of the equation.
3 + -4r + -3r = 10 + 3r + -3r

Combine like terms: -4r + -3r = -7r
3 + -7r = 10 + 3r + -3r

Combine like terms: 3r + -3r = 0
3 + -7r = 10 + 0
3 + -7r = 10

Add '-3' to each side of the equation.
3 + -3 + -7r = 10 + -3

Combine like terms: 3 + -3 = 0
0 + -7r = 10 + -3
-7r = 10 + -3

Combine like terms: 10 + -3 = 7
-7r = 7

Divide each side by '-7'.
r = -1

Simplifying
r = -1