.6(w-12)=.2w

Solution for .6(w-12)=.2w equation:

Simplifying
0.6(w + -12) = 0.2w

Reorder the terms:
0.6(-12 + w) = 0.2w
(-12 * 0.6 + w * 0.6) = 0.2w
(-7.2 + 0.6w) = 0.2w

Solving
-7.2 + 0.6w = 0.2w

Solving for variable 'w'.

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

Add '-0.2w' to each side of the equation.
-7.2 + 0.6w + -0.2w = 0.2w + -0.2w

Combine like terms: 0.6w + -0.2w = 0.4w
-7.2 + 0.4w = 0.2w + -0.2w

Combine like terms: 0.2w + -0.2w = 0.0
-7.2 + 0.4w = 0.0

Add '7.2' to each side of the equation.
-7.2 + 7.2 + 0.4w = 0.0 + 7.2

Combine like terms: -7.2 + 7.2 = 0.0
0.0 + 0.4w = 0.0 + 7.2
0.4w = 0.0 + 7.2

Combine like terms: 0.0 + 7.2 = 7.2
0.4w = 7.2

Divide each side by '0.4'.
w = 18

Simplifying
w = 18