2w+2(2w+3)=48

Solution for 2w+2(2w+3)=48 equation:

Simplifying
2w + 2(2w + 3) = 48

Reorder the terms:
2w + 2(3 + 2w) = 48
2w + (3 * 2 + 2w * 2) = 48
2w + (6 + 4w) = 48

Reorder the terms:
6 + 2w + 4w = 48

Combine like terms: 2w + 4w = 6w
6 + 6w = 48

Solving
6 + 6w = 48

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 + 6w = 48 + -6

Combine like terms: 6 + -6 = 0
0 + 6w = 48 + -6
6w = 48 + -6

Combine like terms: 48 + -6 = 42
6w = 42

Divide each side by '6'.
w = 7

Simplifying
w = 7