-6(3w-1)+8w=5(w+9)

Solution for -6(3w-1)+8w=5(w+9) equation:

Simplifying
-6(3w + -1) + 8w = 5(w + 9)

Reorder the terms:
-6(-1 + 3w) + 8w = 5(w + 9)
(-1 * -6 + 3w * -6) + 8w = 5(w + 9)
(6 + -18w) + 8w = 5(w + 9)

Combine like terms: -18w + 8w = -10w
6 + -10w = 5(w + 9)

Reorder the terms:
6 + -10w = 5(9 + w)
6 + -10w = (9 * 5 + w * 5)
6 + -10w = (45 + 5w)

Solving
6 + -10w = 45 + 5w

Solving for variable 'w'.

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

Add '-5w' to each side of the equation.
6 + -10w + -5w = 45 + 5w + -5w

Combine like terms: -10w + -5w = -15w
6 + -15w = 45 + 5w + -5w

Combine like terms: 5w + -5w = 0
6 + -15w = 45 + 0
6 + -15w = 45

Add '-6' to each side of the equation.
6 + -6 + -15w = 45 + -6

Combine like terms: 6 + -6 = 0
0 + -15w = 45 + -6
-15w = 45 + -6

Combine like terms: 45 + -6 = 39
-15w = 39

Divide each side by '-15'.
w = -2.6

Simplifying
w = -2.6