2(w+3)=5w+30

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

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

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

Reorder the terms:
6 + 2w = 30 + 5w

Solving
6 + 2w = 30 + 5w

Solving for variable 'w'.

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

Add '-5w' to each side of the equation.
6 + 2w + -5w = 30 + 5w + -5w

Combine like terms: 2w + -5w = -3w
6 + -3w = 30 + 5w + -5w

Combine like terms: 5w + -5w = 0
6 + -3w = 30 + 0
6 + -3w = 30

Add '-6' to each side of the equation.
6 + -6 + -3w = 30 + -6

Combine like terms: 6 + -6 = 0
0 + -3w = 30 + -6
-3w = 30 + -6

Combine like terms: 30 + -6 = 24
-3w = 24

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

Simplifying
w = -8