3w+6-2w=2(w-6)

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

Simplifying
3w + 6 + -2w = 2(w + -6)

Reorder the terms:
6 + 3w + -2w = 2(w + -6)

Combine like terms: 3w + -2w = 1w
6 + 1w = 2(w + -6)

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

Solving
6 + 1w = -12 + 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
6 + 1w + -2w = -12 + 2w + -2w

Combine like terms: 1w + -2w = -1w
6 + -1w = -12 + 2w + -2w

Combine like terms: 2w + -2w = 0
6 + -1w = -12 + 0
6 + -1w = -12

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

Combine like terms: 6 + -6 = 0
0 + -1w = -12 + -6
-1w = -12 + -6

Combine like terms: -12 + -6 = -18
-1w = -18

Divide each side by '-1'.
w = 18

Simplifying
w = 18