-2(8w-3)+4w=2+2(3w-4)

Solution for -2(8w-3)+4w=2+2(3w-4) equation:

Simplifying
-2(8w + -3) + 4w = 2 + 2(3w + -4)

Reorder the terms:
-2(-3 + 8w) + 4w = 2 + 2(3w + -4)
(-3 * -2 + 8w * -2) + 4w = 2 + 2(3w + -4)
(6 + -16w) + 4w = 2 + 2(3w + -4)

Combine like terms: -16w + 4w = -12w
6 + -12w = 2 + 2(3w + -4)

Reorder the terms:
6 + -12w = 2 + 2(-4 + 3w)
6 + -12w = 2 + (-4 * 2 + 3w * 2)
6 + -12w = 2 + (-8 + 6w)

Combine like terms: 2 + -8 = -6
6 + -12w = -6 + 6w

Solving
6 + -12w = -6 + 6w

Solving for variable 'w'.

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

Add '-6w' to each side of the equation.
6 + -12w + -6w = -6 + 6w + -6w

Combine like terms: -12w + -6w = -18w
6 + -18w = -6 + 6w + -6w

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

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

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

Combine like terms: -6 + -6 = -12
-18w = -12

Divide each side by '-18'.
w = 0.6666666667

Simplifying
w = 0.6666666667