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

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

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

Reorder the terms:
6 + 3r = 5(6 + 3r)
6 + 3r = (6 * 5 + 3r * 5)
6 + 3r = (30 + 15r)

Solving
6 + 3r = 30 + 15r

Solving for variable 'r'.

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

Add '-15r' to each side of the equation.
6 + 3r + -15r = 30 + 15r + -15r

Combine like terms: 3r + -15r = -12r
6 + -12r = 30 + 15r + -15r

Combine like terms: 15r + -15r = 0
6 + -12r = 30 + 0
6 + -12r = 30

Add '-6' to each side of the equation.
6 + -6 + -12r = 30 + -6

Combine like terms: 6 + -6 = 0
0 + -12r = 30 + -6
-12r = 30 + -6

Combine like terms: 30 + -6 = 24
-12r = 24

Divide each side by '-12'.
r = -2

Simplifying
r = -2