w+6=2(w-12)

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

Simplifying
w + 6 = 2(w + -12)

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

Reorder the terms:
6 + w = 2(-12 + w)
6 + w = (-12 * 2 + w * 2)
6 + w = (-24 + 2w)

Solving
6 + w = -24 + 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 = -24 + 2w + -2w

Combine like terms: w + -2w = -1w
6 + -1w = -24 + 2w + -2w

Combine like terms: 2w + -2w = 0
6 + -1w = -24 + 0
6 + -1w = -24

Add '-6' to each side of the equation.
6 + -6 + -1w = -24 + -6

Combine like terms: 6 + -6 = 0
0 + -1w = -24 + -6
-1w = -24 + -6

Combine like terms: -24 + -6 = -30
-1w = -30

Divide each side by '-1'.
w = 30

Simplifying
w = 30