3(3w+2)+5(w+4)=54

Solution for 3(3w+2)+5(w+4)=54 equation:

Simplifying
3(3w + 2) + 5(w + 4) = 54

Reorder the terms:
3(2 + 3w) + 5(w + 4) = 54
(2 * 3 + 3w * 3) + 5(w + 4) = 54
(6 + 9w) + 5(w + 4) = 54

Reorder the terms:
6 + 9w + 5(4 + w) = 54
6 + 9w + (4 * 5 + w * 5) = 54
6 + 9w + (20 + 5w) = 54

Reorder the terms:
6 + 20 + 9w + 5w = 54

Combine like terms: 6 + 20 = 26
26 + 9w + 5w = 54

Combine like terms: 9w + 5w = 14w
26 + 14w = 54

Solving
26 + 14w = 54

Solving for variable 'w'.

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

Add '-26' to each side of the equation.
26 + -26 + 14w = 54 + -26

Combine like terms: 26 + -26 = 0
0 + 14w = 54 + -26
14w = 54 + -26

Combine like terms: 54 + -26 = 28
14w = 28

Divide each side by '14'.
w = 2

Simplifying
w = 2