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

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

Simplifying
3(2 + r) + -2r = 2r + 11
(2 * 3 + r * 3) + -2r = 2r + 11
(6 + 3r) + -2r = 2r + 11

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

Reorder the terms:
6 + 1r = 11 + 2r

Solving
6 + 1r = 11 + 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.
6 + 1r + -2r = 11 + 2r + -2r

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

Combine like terms: 2r + -2r = 0
6 + -1r = 11 + 0
6 + -1r = 11

Add '-6' to each side of the equation.
6 + -6 + -1r = 11 + -6

Combine like terms: 6 + -6 = 0
0 + -1r = 11 + -6
-1r = 11 + -6

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

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

Simplifying
r = -5