6w+6=2(w-6)

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

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

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

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

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

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

Combine like terms: 2w + -2w = 0
6 + 4w = -12 + 0
6 + 4w = -12

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

Combine like terms: 6 + -6 = 0
0 + 4w = -12 + -6
4w = -12 + -6

Combine like terms: -12 + -6 = -18
4w = -18

Divide each side by '4'.
w = -4.5

Simplifying
w = -4.5