2(w+3)=-3w-9

Solution for 2(w+3)=-3w-9 equation:

Simplifying
2(w + 3) = -3w + -9

Reorder the terms:
2(3 + w) = -3w + -9
(3 * 2 + w * 2) = -3w + -9
(6 + 2w) = -3w + -9

Reorder the terms:
6 + 2w = -9 + -3w

Solving
6 + 2w = -9 + -3w

Solving for variable 'w'.

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

Add '3w' to each side of the equation.
6 + 2w + 3w = -9 + -3w + 3w

Combine like terms: 2w + 3w = 5w
6 + 5w = -9 + -3w + 3w

Combine like terms: -3w + 3w = 0
6 + 5w = -9 + 0
6 + 5w = -9

Add '-6' to each side of the equation.
6 + -6 + 5w = -9 + -6

Combine like terms: 6 + -6 = 0
0 + 5w = -9 + -6
5w = -9 + -6

Combine like terms: -9 + -6 = -15
5w = -15

Divide each side by '5'.
w = -3

Simplifying
w = -3