5w+3(w-2)=-30

Solution for 5w+3(w-2)=-30 equation:

Simplifying
5w + 3(w + -2) = -30

Reorder the terms:
5w + 3(-2 + w) = -30
5w + (-2 * 3 + w * 3) = -30
5w + (-6 + 3w) = -30

Reorder the terms:
-6 + 5w + 3w = -30

Combine like terms: 5w + 3w = 8w
-6 + 8w = -30

Solving
-6 + 8w = -30

Solving for variable 'w'.

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

Add '6' to each side of the equation.
-6 + 6 + 8w = -30 + 6

Combine like terms: -6 + 6 = 0
0 + 8w = -30 + 6
8w = -30 + 6

Combine like terms: -30 + 6 = -24
8w = -24

Divide each side by '8'.
w = -3

Simplifying
w = -3