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

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

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

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

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

Solving
6 + 12w = -4 + 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.
6 + 12w + -2w = -4 + 2w + -2w

Combine like terms: 12w + -2w = 10w
6 + 10w = -4 + 2w + -2w

Combine like terms: 2w + -2w = 0
6 + 10w = -4 + 0
6 + 10w = -4

Add '-6' to each side of the equation.
6 + -6 + 10w = -4 + -6

Combine like terms: 6 + -6 = 0
0 + 10w = -4 + -6
10w = -4 + -6

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

Divide each side by '10'.
w = -1

Simplifying
w = -1