14=2w+2(w-3)

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

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

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

Reorder the terms:
14 = -6 + 2w + 2w

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

Solving
14 = -6 + 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.
14 + -4w = -6 + 4w + -4w

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

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

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

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

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

Simplifying
w = 5