5w+7(w-6)=30

Solution for 5w+7(w-6)=30 equation:

Simplifying
5w + 7(w + -6) = 30

Reorder the terms:
5w + 7(-6 + w) = 30
5w + (-6 * 7 + w * 7) = 30
5w + (-42 + 7w) = 30

Reorder the terms:
-42 + 5w + 7w = 30

Combine like terms: 5w + 7w = 12w
-42 + 12w = 30

Solving
-42 + 12w = 30

Solving for variable 'w'.

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

Add '42' to each side of the equation.
-42 + 42 + 12w = 30 + 42

Combine like terms: -42 + 42 = 0
0 + 12w = 30 + 42
12w = 30 + 42

Combine like terms: 30 + 42 = 72
12w = 72

Divide each side by '12'.
w = 6

Simplifying
w = 6