5w+6=-8(w-4)

Solution for 5w+6=-8(w-4) equation:

Simplifying
5w + 6 = -8(w + -4)

Reorder the terms:
6 + 5w = -8(w + -4)

Reorder the terms:
6 + 5w = -8(-4 + w)
6 + 5w = (-4 * -8 + w * -8)
6 + 5w = (32 + -8w)

Solving
6 + 5w = 32 + -8w

Solving for variable 'w'.

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

Add '8w' to each side of the equation.
6 + 5w + 8w = 32 + -8w + 8w

Combine like terms: 5w + 8w = 13w
6 + 13w = 32 + -8w + 8w

Combine like terms: -8w + 8w = 0
6 + 13w = 32 + 0
6 + 13w = 32

Add '-6' to each side of the equation.
6 + -6 + 13w = 32 + -6

Combine like terms: 6 + -6 = 0
0 + 13w = 32 + -6
13w = 32 + -6

Combine like terms: 32 + -6 = 26
13w = 26

Divide each side by '13'.
w = 2

Simplifying
w = 2