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

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

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

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

Reorder the terms:
6 + 2w = (4 + w)

Remove parenthesis around (4 + w)
6 + 2w = 4 + w

Solving
6 + 2w = 4 + w

Solving for variable 'w'.

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

Add '-1w' to each side of the equation.
6 + 2w + -1w = 4 + w + -1w

Combine like terms: 2w + -1w = 1w
6 + 1w = 4 + w + -1w

Combine like terms: w + -1w = 0
6 + 1w = 4 + 0
6 + 1w = 4

Add '-6' to each side of the equation.
6 + -6 + 1w = 4 + -6

Combine like terms: 6 + -6 = 0
0 + 1w = 4 + -6
1w = 4 + -6

Combine like terms: 4 + -6 = -2
1w = -2

Divide each side by '1'.
w = -2

Simplifying
w = -2