w+6=2[w-6]

Solution for w+6=2[w-6] equation:

Simplifying
w + 6 = 2[w + -6]

Reorder the terms:
6 + w = 2[w + -6]

Reorder the terms:
6 + w = 2[-6 + w]
6 + w = [-6 * 2 + w * 2]
6 + w = [-12 + 2w]

Solving
6 + w = -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 + w + -2w = -12 + 2w + -2w

Combine like terms: w + -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