3(r+2)=6r-5

Solution for 3(r+2)=6r-5 equation:

Simplifying
3(r + 2) = 6r + -5

Reorder the terms:
3(2 + r) = 6r + -5
(2 * 3 + r * 3) = 6r + -5
(6 + 3r) = 6r + -5

Reorder the terms:
6 + 3r = -5 + 6r

Solving
6 + 3r = -5 + 6r

Solving for variable 'r'.

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

Add '-6r' to each side of the equation.
6 + 3r + -6r = -5 + 6r + -6r

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

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

Add '-6' to each side of the equation.
6 + -6 + -3r = -5 + -6

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

Combine like terms: -5 + -6 = -11
-3r = -11

Divide each side by '-3'.
r = 3.666666667

Simplifying
r = 3.666666667