3(3w+2)=5(w+4)

Solution for 3(3w+2)=5(w+4) equation:

Simplifying
3(3w + 2) = 5(w + 4)

Reorder the terms:
3(2 + 3w) = 5(w + 4)
(2 * 3 + 3w * 3) = 5(w + 4)
(6 + 9w) = 5(w + 4)

Reorder the terms:
6 + 9w = 5(4 + w)
6 + 9w = (4 * 5 + w * 5)
6 + 9w = (20 + 5w)

Solving
6 + 9w = 20 + 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.
6 + 9w + -5w = 20 + 5w + -5w

Combine like terms: 9w + -5w = 4w
6 + 4w = 20 + 5w + -5w

Combine like terms: 5w + -5w = 0
6 + 4w = 20 + 0
6 + 4w = 20

Add '-6' to each side of the equation.
6 + -6 + 4w = 20 + -6

Combine like terms: 6 + -6 = 0
0 + 4w = 20 + -6
4w = 20 + -6

Combine like terms: 20 + -6 = 14
4w = 14

Divide each side by '4'.
w = 3.5

Simplifying
w = 3.5