2(w+3)=-2(w-21)

Solution for 2(w+3)=-2(w-21) equation:

Simplifying
2(w + 3) = -2(w + -21)

Reorder the terms:
2(3 + w) = -2(w + -21)
(3 * 2 + w * 2) = -2(w + -21)
(6 + 2w) = -2(w + -21)

Reorder the terms:
6 + 2w = -2(-21 + w)
6 + 2w = (-21 * -2 + w * -2)
6 + 2w = (42 + -2w)

Solving
6 + 2w = 42 + -2w

Solving for variable 'w'.

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

Add '2w' to each side of the equation.
6 + 2w + 2w = 42 + -2w + 2w

Combine like terms: 2w + 2w = 4w
6 + 4w = 42 + -2w + 2w

Combine like terms: -2w + 2w = 0
6 + 4w = 42 + 0
6 + 4w = 42

Add '-6' to each side of the equation.
6 + -6 + 4w = 42 + -6

Combine like terms: 6 + -6 = 0
0 + 4w = 42 + -6
4w = 42 + -6

Combine like terms: 42 + -6 = 36
4w = 36

Divide each side by '4'.
w = 9

Simplifying
w = 9