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

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

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

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

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

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

Combine like terms: 6 + -6 = 0
6 + -2w = 0 + 12w
6 + -2w = 12w

Solving
6 + -2w = 12w

Solving for variable 'w'.

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

Add '-12w' to each side of the equation.
6 + -2w + -12w = 12w + -12w

Combine like terms: -2w + -12w = -14w
6 + -14w = 12w + -12w

Combine like terms: 12w + -12w = 0
6 + -14w = 0

Add '-6' to each side of the equation.
6 + -6 + -14w = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -14w = 0 + -6
-14w = 0 + -6

Combine like terms: 0 + -6 = -6
-14w = -6

Divide each side by '-14'.
w = 0.4285714286

Simplifying
w = 0.4285714286