48=2(2w+3+w)

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

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

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

Combine like terms: 2w + w = 3w
48 = 2(3 + 3w)
48 = (3 * 2 + 3w * 2)
48 = (6 + 6w)

Solving
48 = 6 + 6w

Solving for variable 'w'.

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

Add '-6w' to each side of the equation.
48 + -6w = 6 + 6w + -6w

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

Add '-48' to each side of the equation.
48 + -48 + -6w = 6 + -48

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

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

Divide each side by '-6'.
w = 7

Simplifying
w = 7