2(2w+3)=3(w+8)

Solution for 2(2w+3)=3(w+8) equation:

Simplifying
2(2w + 3) = 3(w + 8)

Reorder the terms:
2(3 + 2w) = 3(w + 8)
(3 * 2 + 2w * 2) = 3(w + 8)
(6 + 4w) = 3(w + 8)

Reorder the terms:
6 + 4w = 3(8 + w)
6 + 4w = (8 * 3 + w * 3)
6 + 4w = (24 + 3w)

Solving
6 + 4w = 24 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
6 + 4w + -3w = 24 + 3w + -3w

Combine like terms: 4w + -3w = 1w
6 + 1w = 24 + 3w + -3w

Combine like terms: 3w + -3w = 0
6 + 1w = 24 + 0
6 + 1w = 24

Add '-6' to each side of the equation.
6 + -6 + 1w = 24 + -6

Combine like terms: 6 + -6 = 0
0 + 1w = 24 + -6
1w = 24 + -6

Combine like terms: 24 + -6 = 18
1w = 18

Divide each side by '1'.
w = 18

Simplifying
w = 18