2w+2(w+5)=42

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

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

Reorder the terms:
2w + 2(5 + w) = 42
2w + (5 * 2 + w * 2) = 42
2w + (10 + 2w) = 42

Reorder the terms:
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