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

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

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

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

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

Solving
-6 + 3w = -8 + -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 + 3w + 2w = -8 + -2w + 2w

Combine like terms: 3w + 2w = 5w
-6 + 5w = -8 + -2w + 2w

Combine like terms: -2w + 2w = 0
-6 + 5w = -8 + 0
-6 + 5w = -8

Add '6' to each side of the equation.
-6 + 6 + 5w = -8 + 6

Combine like terms: -6 + 6 = 0
0 + 5w = -8 + 6
5w = -8 + 6

Combine like terms: -8 + 6 = -2
5w = -2

Divide each side by '5'.
w = -0.4

Simplifying
w = -0.4