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

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

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

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

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

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

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

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

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

Solving
6w = 2w

Solving for variable 'w'.

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

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

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

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

Divide each side by '4'.
w = 0

Simplifying
w = 0