3(r+2)-2(2r-1)=12

Solution for 3(r+2)-2(2r-1)=12 equation:

Simplifying
3(r + 2) + -2(2r + -1) = 12

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

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

Reorder the terms:
6 + 2 + 3r + -4r = 12

Combine like terms: 6 + 2 = 8
8 + 3r + -4r = 12

Combine like terms: 3r + -4r = -1r
8 + -1r = 12

Solving
8 + -1r = 12

Solving for variable 'r'.

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

Add '-8' to each side of the equation.
8 + -8 + -1r = 12 + -8

Combine like terms: 8 + -8 = 0
0 + -1r = 12 + -8
-1r = 12 + -8

Combine like terms: 12 + -8 = 4
-1r = 4

Divide each side by '-1'.
r = -4

Simplifying
r = -4