2(w-3)=6w+6-2(-7w-2)

Solution for 2(w-3)=6w+6-2(-7w-2) equation:

Simplifying
2(w + -3) = 6w + 6 + -2(-7w + -2)

Reorder the terms:
2(-3 + w) = 6w + 6 + -2(-7w + -2)
(-3 * 2 + w * 2) = 6w + 6 + -2(-7w + -2)
(-6 + 2w) = 6w + 6 + -2(-7w + -2)

Reorder the terms:
-6 + 2w = 6w + 6 + -2(-2 + -7w)
-6 + 2w = 6w + 6 + (-2 * -2 + -7w * -2)
-6 + 2w = 6w + 6 + (4 + 14w)

Reorder the terms:
-6 + 2w = 6 + 4 + 6w + 14w

Combine like terms: 6 + 4 = 10
-6 + 2w = 10 + 6w + 14w

Combine like terms: 6w + 14w = 20w
-6 + 2w = 10 + 20w

Solving
-6 + 2w = 10 + 20w

Solving for variable 'w'.

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

Add '-20w' to each side of the equation.
-6 + 2w + -20w = 10 + 20w + -20w

Combine like terms: 2w + -20w = -18w
-6 + -18w = 10 + 20w + -20w

Combine like terms: 20w + -20w = 0
-6 + -18w = 10 + 0
-6 + -18w = 10

Add '6' to each side of the equation.
-6 + 6 + -18w = 10 + 6

Combine like terms: -6 + 6 = 0
0 + -18w = 10 + 6
-18w = 10 + 6

Combine like terms: 10 + 6 = 16
-18w = 16

Divide each side by '-18'.
w = -0.8888888889

Simplifying
w = -0.8888888889