2(w+3)=8w-30

Solution for 2(w+3)=8w-30 equation:

Simplifying
2(w + 3) = 8w + -30

Reorder the terms:
2(3 + w) = 8w + -30
(3 * 2 + w * 2) = 8w + -30
(6 + 2w) = 8w + -30

Reorder the terms:
6 + 2w = -30 + 8w

Solving
6 + 2w = -30 + 8w

Solving for variable 'w'.

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

Add '-8w' to each side of the equation.
6 + 2w + -8w = -30 + 8w + -8w

Combine like terms: 2w + -8w = -6w
6 + -6w = -30 + 8w + -8w

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

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

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

Combine like terms: -30 + -6 = -36
-6w = -36

Divide each side by '-6'.
w = 6

Simplifying
w = 6