3(w+2)+2(w-1)=13

Solution for 3(w+2)+2(w-1)=13 equation:

Simplifying
3(w + 2) + 2(w + -1) = 13

Reorder the terms:
3(2 + w) + 2(w + -1) = 13
(2 * 3 + w * 3) + 2(w + -1) = 13
(6 + 3w) + 2(w + -1) = 13

Reorder the terms:
6 + 3w + 2(-1 + w) = 13
6 + 3w + (-1 * 2 + w * 2) = 13
6 + 3w + (-2 + 2w) = 13

Reorder the terms:
6 + -2 + 3w + 2w = 13

Combine like terms: 6 + -2 = 4
4 + 3w + 2w = 13

Combine like terms: 3w + 2w = 5w
4 + 5w = 13

Solving
4 + 5w = 13

Solving for variable 'w'.

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

Add '-4' to each side of the equation.
4 + -4 + 5w = 13 + -4

Combine like terms: 4 + -4 = 0
0 + 5w = 13 + -4
5w = 13 + -4

Combine like terms: 13 + -4 = 9
5w = 9

Divide each side by '5'.
w = 1.8

Simplifying
w = 1.8