5w+6=13-2w

Solution for 5w+6=13-2w equation:

Simplifying
5w + 6 = 13 + -2w

Reorder the terms:
6 + 5w = 13 + -2w

Solving
6 + 5w = 13 + -2w

Solving for variable 'w'.

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

Add '2w' to each side of the equation.
6 + 5w + 2w = 13 + -2w + 2w

Combine like terms: 5w + 2w = 7w
6 + 7w = 13 + -2w + 2w

Combine like terms: -2w + 2w = 0
6 + 7w = 13 + 0
6 + 7w = 13

Add '-6' to each side of the equation.
6 + -6 + 7w = 13 + -6

Combine like terms: 6 + -6 = 0
0 + 7w = 13 + -6
7w = 13 + -6

Combine like terms: 13 + -6 = 7
7w = 7

Divide each side by '7'.
w = 1

Simplifying
w = 1