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

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

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

Reorder the terms:
3(2 + 5r) = 2(3r + -6)
(2 * 3 + 5r * 3) = 2(3r + -6)
(6 + 15r) = 2(3r + -6)

Reorder the terms:
6 + 15r = 2(-6 + 3r)
6 + 15r = (-6 * 2 + 3r * 2)
6 + 15r = (-12 + 6r)

Solving
6 + 15r = -12 + 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 + 15r + -6r = -12 + 6r + -6r

Combine like terms: 15r + -6r = 9r
6 + 9r = -12 + 6r + -6r

Combine like terms: 6r + -6r = 0
6 + 9r = -12 + 0
6 + 9r = -12

Add '-6' to each side of the equation.
6 + -6 + 9r = -12 + -6

Combine like terms: 6 + -6 = 0
0 + 9r = -12 + -6
9r = -12 + -6

Combine like terms: -12 + -6 = -18
9r = -18

Divide each side by '9'.
r = -2

Simplifying
r = -2