2(r+3)=3(4-r)-11

Solution for 2(r+3)=3(4-r)-11 equation:

Simplifying
2(r + 3) = 3(4 + -1r) + -11

Reorder the terms:
2(3 + r) = 3(4 + -1r) + -11
(3 * 2 + r * 2) = 3(4 + -1r) + -11
(6 + 2r) = 3(4 + -1r) + -11
6 + 2r = (4 * 3 + -1r * 3) + -11
6 + 2r = (12 + -3r) + -11

Reorder the terms:
6 + 2r = 12 + -11 + -3r

Combine like terms: 12 + -11 = 1
6 + 2r = 1 + -3r

Solving
6 + 2r = 1 + -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.
6 + 2r + 3r = 1 + -3r + 3r

Combine like terms: 2r + 3r = 5r
6 + 5r = 1 + -3r + 3r

Combine like terms: -3r + 3r = 0
6 + 5r = 1 + 0
6 + 5r = 1

Add '-6' to each side of the equation.
6 + -6 + 5r = 1 + -6

Combine like terms: 6 + -6 = 0
0 + 5r = 1 + -6
5r = 1 + -6

Combine like terms: 1 + -6 = -5
5r = -5

Divide each side by '5'.
r = -1

Simplifying
r = -1