2w+2(2w+10)=30

Solution for 2w+2(2w+10)=30 equation:

Simplifying
2w + 2(2w + 10) = 30

Reorder the terms:
2w + 2(10 + 2w) = 30
2w + (10 * 2 + 2w * 2) = 30
2w + (20 + 4w) = 30

Reorder the terms:
20 + 2w + 4w = 30

Combine like terms: 2w + 4w = 6w
20 + 6w = 30

Solving
20 + 6w = 30

Solving for variable 'w'.

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

Add '-20' to each side of the equation.
20 + -20 + 6w = 30 + -20

Combine like terms: 20 + -20 = 0
0 + 6w = 30 + -20
6w = 30 + -20

Combine like terms: 30 + -20 = 10
6w = 10

Divide each side by '6'.
w = 1.666666667

Simplifying
w = 1.666666667