2w+2(w+3)=36

Solution for 2w+2(w+3)=36 equation:

Simplifying
2w + 2(w + 3) = 36

Reorder the terms:
2w + 2(3 + w) = 36
2w + (3 * 2 + w * 2) = 36
2w + (6 + 2w) = 36

Reorder the terms:
6 + 2w + 2w = 36

Combine like terms: 2w + 2w = 4w
6 + 4w = 36

Solving
6 + 4w = 36

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 + 4w = 36 + -6

Combine like terms: 6 + -6 = 0
0 + 4w = 36 + -6
4w = 36 + -6

Combine like terms: 36 + -6 = 30
4w = 30

Divide each side by '4'.
w = 7.5

Simplifying
w = 7.5