2(2r+5)+1=5-2(3-r)

Solution for 2(2r+5)+1=5-2(3-r) equation:

Simplifying
2(2r + 5) + 1 = 5 + -2(3 + -1r)

Reorder the terms:
2(5 + 2r) + 1 = 5 + -2(3 + -1r)
(5 * 2 + 2r * 2) + 1 = 5 + -2(3 + -1r)
(10 + 4r) + 1 = 5 + -2(3 + -1r)

Reorder the terms:
10 + 1 + 4r = 5 + -2(3 + -1r)

Combine like terms: 10 + 1 = 11
11 + 4r = 5 + -2(3 + -1r)
11 + 4r = 5 + (3 * -2 + -1r * -2)
11 + 4r = 5 + (-6 + 2r)

Combine like terms: 5 + -6 = -1
11 + 4r = -1 + 2r

Solving
11 + 4r = -1 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
11 + 4r + -2r = -1 + 2r + -2r

Combine like terms: 4r + -2r = 2r
11 + 2r = -1 + 2r + -2r

Combine like terms: 2r + -2r = 0
11 + 2r = -1 + 0
11 + 2r = -1

Add '-11' to each side of the equation.
11 + -11 + 2r = -1 + -11

Combine like terms: 11 + -11 = 0
0 + 2r = -1 + -11
2r = -1 + -11

Combine like terms: -1 + -11 = -12
2r = -12

Divide each side by '2'.
r = -6

Simplifying
r = -6