3(18r+2)=12(5r-3)

Solution for 3(18r+2)=12(5r-3) equation:

Simplifying
3(18r + 2) = 12(5r + -3)

Reorder the terms:
3(2 + 18r) = 12(5r + -3)
(2 * 3 + 18r * 3) = 12(5r + -3)
(6 + 54r) = 12(5r + -3)

Reorder the terms:
6 + 54r = 12(-3 + 5r)
6 + 54r = (-3 * 12 + 5r * 12)
6 + 54r = (-36 + 60r)

Solving
6 + 54r = -36 + 60r

Solving for variable 'r'.

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

Add '-60r' to each side of the equation.
6 + 54r + -60r = -36 + 60r + -60r

Combine like terms: 54r + -60r = -6r
6 + -6r = -36 + 60r + -60r

Combine like terms: 60r + -60r = 0
6 + -6r = -36 + 0
6 + -6r = -36

Add '-6' to each side of the equation.
6 + -6 + -6r = -36 + -6

Combine like terms: 6 + -6 = 0
0 + -6r = -36 + -6
-6r = -36 + -6

Combine like terms: -36 + -6 = -42
-6r = -42

Divide each side by '-6'.
r = 7

Simplifying
r = 7