2(5+w)+2w=42

Solution for 2(5+w)+2w=42 equation:

Simplifying
2(5 + w) + 2w = 42
(5 * 2 + w * 2) + 2w = 42
(10 + 2w) + 2w = 42

Combine like terms: 2w + 2w = 4w
10 + 4w = 42

Solving
10 + 4w = 42

Solving for variable 'w'.

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

Add '-10' to each side of the equation.
10 + -10 + 4w = 42 + -10

Combine like terms: 10 + -10 = 0
0 + 4w = 42 + -10
4w = 42 + -10

Combine like terms: 42 + -10 = 32
4w = 32

Divide each side by '4'.
w = 8

Simplifying
w = 8