2w+6=-4(w-6)

Solution for 2w+6=-4(w-6) equation:

Simplifying
2w + 6 = -4(w + -6)

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

Reorder the terms:
6 + 2w = -4(-6 + w)
6 + 2w = (-6 * -4 + w * -4)
6 + 2w = (24 + -4w)

Solving
6 + 2w = 24 + -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 = 24 + -4w + 4w

Combine like terms: 2w + 4w = 6w
6 + 6w = 24 + -4w + 4w

Combine like terms: -4w + 4w = 0
6 + 6w = 24 + 0
6 + 6w = 24

Add '-6' to each side of the equation.
6 + -6 + 6w = 24 + -6

Combine like terms: 6 + -6 = 0
0 + 6w = 24 + -6
6w = 24 + -6

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

Divide each side by '6'.
w = 3

Simplifying
w = 3