2(w+3)=4(w)

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

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

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

Solving
6 + 2w = 4w

Solving for variable 'w'.

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

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

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

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

Add '-6' to each side of the equation.
6 + -6 + -2w = 0 + -6

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

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

Divide each side by '-2'.
w = 3

Simplifying
w = 3