-5w+6=-3(w-6)

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

Simplifying
-5w + 6 = -3(w + -6)

Reorder the terms:
6 + -5w = -3(w + -6)

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

Solving
6 + -5w = 18 + -3w

Solving for variable 'w'.

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

Add '3w' to each side of the equation.
6 + -5w + 3w = 18 + -3w + 3w

Combine like terms: -5w + 3w = -2w
6 + -2w = 18 + -3w + 3w

Combine like terms: -3w + 3w = 0
6 + -2w = 18 + 0
6 + -2w = 18

Add '-6' to each side of the equation.
6 + -6 + -2w = 18 + -6

Combine like terms: 6 + -6 = 0
0 + -2w = 18 + -6
-2w = 18 + -6

Combine like terms: 18 + -6 = 12
-2w = 12

Divide each side by '-2'.
w = -6

Simplifying
w = -6