6(2r-1)=3r-2(r+2)

Solution for 6(2r-1)=3r-2(r+2) equation:

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

Reorder the terms:
6(-1 + 2r) = 3r + -2(r + 2)
(-1 * 6 + 2r * 6) = 3r + -2(r + 2)
(-6 + 12r) = 3r + -2(r + 2)

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

Reorder the terms:
-6 + 12r = -4 + 3r + -2r

Combine like terms: 3r + -2r = 1r
-6 + 12r = -4 + 1r

Solving
-6 + 12r = -4 + 1r

Solving for variable 'r'.

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

Add '-1r' to each side of the equation.
-6 + 12r + -1r = -4 + 1r + -1r

Combine like terms: 12r + -1r = 11r
-6 + 11r = -4 + 1r + -1r

Combine like terms: 1r + -1r = 0
-6 + 11r = -4 + 0
-6 + 11r = -4

Add '6' to each side of the equation.
-6 + 6 + 11r = -4 + 6

Combine like terms: -6 + 6 = 0
0 + 11r = -4 + 6
11r = -4 + 6

Combine like terms: -4 + 6 = 2
11r = 2

Divide each side by '11'.
r = 0.1818181818

Simplifying
r = 0.1818181818