2w-6+2(3w+4)=-4(w+1)

Solution for 2w-6+2(3w+4)=-4(w+1) equation:

Simplifying
2w + -6 + 2(3w + 4) = -4(w + 1)

Reorder the terms:
2w + -6 + 2(4 + 3w) = -4(w + 1)
2w + -6 + (4 * 2 + 3w * 2) = -4(w + 1)
2w + -6 + (8 + 6w) = -4(w + 1)

Reorder the terms:
-6 + 8 + 2w + 6w = -4(w + 1)

Combine like terms: -6 + 8 = 2
2 + 2w + 6w = -4(w + 1)

Combine like terms: 2w + 6w = 8w
2 + 8w = -4(w + 1)

Reorder the terms:
2 + 8w = -4(1 + w)
2 + 8w = (1 * -4 + w * -4)
2 + 8w = (-4 + -4w)

Solving
2 + 8w = -4 + -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.
2 + 8w + 4w = -4 + -4w + 4w

Combine like terms: 8w + 4w = 12w
2 + 12w = -4 + -4w + 4w

Combine like terms: -4w + 4w = 0
2 + 12w = -4 + 0
2 + 12w = -4

Add '-2' to each side of the equation.
2 + -2 + 12w = -4 + -2

Combine like terms: 2 + -2 = 0
0 + 12w = -4 + -2
12w = -4 + -2

Combine like terms: -4 + -2 = -6
12w = -6

Divide each side by '12'.
w = -0.5

Simplifying
w = -0.5