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

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

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

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

Reorder the terms:
6 + 9w = 4(4 + w)
6 + 9w = (4 * 4 + w * 4)
6 + 9w = (16 + 4w)

Solving
6 + 9w = 16 + 4w

Solving for variable 'w'.

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

Add '-4w' to each side of the equation.
6 + 9w + -4w = 16 + 4w + -4w

Combine like terms: 9w + -4w = 5w
6 + 5w = 16 + 4w + -4w

Combine like terms: 4w + -4w = 0
6 + 5w = 16 + 0
6 + 5w = 16

Add '-6' to each side of the equation.
6 + -6 + 5w = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 5w = 16 + -6
5w = 16 + -6

Combine like terms: 16 + -6 = 10
5w = 10

Divide each side by '5'.
w = 2

Simplifying
w = 2