3(w-2)+5w=-2(w+2)

Solution for 3(w-2)+5w=-2(w+2) equation:

Simplifying
3(w + -2) + 5w = -2(w + 2)

Reorder the terms:
3(-2 + w) + 5w = -2(w + 2)
(-2 * 3 + w * 3) + 5w = -2(w + 2)
(-6 + 3w) + 5w = -2(w + 2)

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

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

Solving
-6 + 8w = -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 + 8w + 2w = -4 + -2w + 2w

Combine like terms: 8w + 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 = 2
10w = 2

Divide each side by '10'.
w = 0.2

Simplifying
w = 0.2