-2w+6=2(w-9)

Solution for -2w+6=2(w-9) equation:

Simplifying
-2w + 6 = 2(w + -9)

Reorder the terms:
6 + -2w = 2(w + -9)

Reorder the terms:
6 + -2w = 2(-9 + w)
6 + -2w = (-9 * 2 + w * 2)
6 + -2w = (-18 + 2w)

Solving
6 + -2w = -18 + 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 = -18 + 2w + -2w

Combine like terms: -2w + -2w = -4w
6 + -4w = -18 + 2w + -2w

Combine like terms: 2w + -2w = 0
6 + -4w = -18 + 0
6 + -4w = -18

Add '-6' to each side of the equation.
6 + -6 + -4w = -18 + -6

Combine like terms: 6 + -6 = 0
0 + -4w = -18 + -6
-4w = -18 + -6

Combine like terms: -18 + -6 = -24
-4w = -24

Divide each side by '-4'.
w = 6

Simplifying
w = 6