48=2(3+2w)+w

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

Simplifying
48 = 2(3 + 2w) + w
48 = (3 * 2 + 2w * 2) + w
48 = (6 + 4w) + w

Combine like terms: 4w + w = 5w
48 = 6 + 5w

Solving
48 = 6 + 5w

Solving for variable 'w'.

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

Add '-5w' to each side of the equation.
48 + -5w = 6 + 5w + -5w

Combine like terms: 5w + -5w = 0
48 + -5w = 6 + 0
48 + -5w = 6

Add '-48' to each side of the equation.
48 + -48 + -5w = 6 + -48

Combine like terms: 48 + -48 = 0
0 + -5w = 6 + -48
-5w = 6 + -48

Combine like terms: 6 + -48 = -42
-5w = -42

Divide each side by '-5'.
w = 8.4

Simplifying
w = 8.4