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

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

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

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

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

Solving
6 + -2w = 2 + 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.
6 + -2w + -4w = 2 + 4w + -4w

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

Combine like terms: 4w + -4w = 0
6 + -6w = 2 + 0
6 + -6w = 2

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

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

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

Divide each side by '-6'.
w = 0.6666666667

Simplifying
w = 0.6666666667