3(2-r)=4(3r+2)

Solution for 3(2-r)=4(3r+2) equation:

Simplifying
3(2 + -1r) = 4(3r + 2)
(2 * 3 + -1r * 3) = 4(3r + 2)
(6 + -3r) = 4(3r + 2)

Reorder the terms:
6 + -3r = 4(2 + 3r)
6 + -3r = (2 * 4 + 3r * 4)
6 + -3r = (8 + 12r)

Solving
6 + -3r = 8 + 12r

Solving for variable 'r'.

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

Add '-12r' to each side of the equation.
6 + -3r + -12r = 8 + 12r + -12r

Combine like terms: -3r + -12r = -15r
6 + -15r = 8 + 12r + -12r

Combine like terms: 12r + -12r = 0
6 + -15r = 8 + 0
6 + -15r = 8

Add '-6' to each side of the equation.
6 + -6 + -15r = 8 + -6

Combine like terms: 6 + -6 = 0
0 + -15r = 8 + -6
-15r = 8 + -6

Combine like terms: 8 + -6 = 2
-15r = 2

Divide each side by '-15'.
r = -0.1333333333

Simplifying
r = -0.1333333333