2w+2(w+4.25)=30

Solution for 2w+2(w+4.25)=30 equation:

Simplifying
2w + 2(w + 4.25) = 30

Reorder the terms:
2w + 2(4.25 + w) = 30
2w + (4.25 * 2 + w * 2) = 30
2w + (8.5 + 2w) = 30

Reorder the terms:
8.5 + 2w + 2w = 30

Combine like terms: 2w + 2w = 4w
8.5 + 4w = 30

Solving
8.5 + 4w = 30

Solving for variable 'w'.

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

Add '-8.5' to each side of the equation.
8.5 + -8.5 + 4w = 30 + -8.5

Combine like terms: 8.5 + -8.5 = 0.0
0.0 + 4w = 30 + -8.5
4w = 30 + -8.5

Combine like terms: 30 + -8.5 = 21.5
4w = 21.5

Divide each side by '4'.
w = 5.375

Simplifying
w = 5.375