12-4r=2(r-3)

Solution for 12-4r=2(r-3) equation:

Simplifying
12 + -4r = 2(r + -3)

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

Solving
12 + -4r = -6 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
12 + -4r + -2r = -6 + 2r + -2r

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

Combine like terms: 2r + -2r = 0
12 + -6r = -6 + 0
12 + -6r = -6

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

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

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

Divide each side by '-6'.
r = 3

Simplifying
r = 3