2(w+3)-3(w+4)=0

Solution for 2(w+3)-3(w+4)=0 equation:

Simplifying
2(w + 3) + -3(w + 4) = 0

Reorder the terms:
2(3 + w) + -3(w + 4) = 0
(3 * 2 + w * 2) + -3(w + 4) = 0
(6 + 2w) + -3(w + 4) = 0

Reorder the terms:
6 + 2w + -3(4 + w) = 0
6 + 2w + (4 * -3 + w * -3) = 0
6 + 2w + (-12 + -3w) = 0

Reorder the terms:
6 + -12 + 2w + -3w = 0

Combine like terms: 6 + -12 = -6
-6 + 2w + -3w = 0

Combine like terms: 2w + -3w = -1w
-6 + -1w = 0

Solving
-6 + -1w = 0

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 + -1w = 0 + 6

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

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

Divide each side by '-1'.
w = -6

Simplifying
w = -6