2(w+3)-6w=-14

Solution for 2(w+3)-6w=-14 equation:

Simplifying
2(w + 3) + -6w = -14

Reorder the terms:
2(3 + w) + -6w = -14
(3 * 2 + w * 2) + -6w = -14
(6 + 2w) + -6w = -14

Combine like terms: 2w + -6w = -4w
6 + -4w = -14

Solving
6 + -4w = -14

Solving for variable 'w'.

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

Add '-6' to each side of the equation.
6 + -6 + -4w = -14 + -6

Combine like terms: 6 + -6 = 0
0 + -4w = -14 + -6
-4w = -14 + -6

Combine like terms: -14 + -6 = -20
-4w = -20

Divide each side by '-4'.
w = 5

Simplifying
w = 5