6(-3w+1)=5(-2w-2)

Solution for 6(-3w+1)=5(-2w-2) equation:

Simplifying
6(-3w + 1) = 5(-2w + -2)

Reorder the terms:
6(1 + -3w) = 5(-2w + -2)
(1 * 6 + -3w * 6) = 5(-2w + -2)
(6 + -18w) = 5(-2w + -2)

Reorder the terms:
6 + -18w = 5(-2 + -2w)
6 + -18w = (-2 * 5 + -2w * 5)
6 + -18w = (-10 + -10w)

Solving
6 + -18w = -10 + -10w

Solving for variable 'w'.

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

Add '10w' to each side of the equation.
6 + -18w + 10w = -10 + -10w + 10w

Combine like terms: -18w + 10w = -8w
6 + -8w = -10 + -10w + 10w

Combine like terms: -10w + 10w = 0
6 + -8w = -10 + 0
6 + -8w = -10

Add '-6' to each side of the equation.
6 + -6 + -8w = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -8w = -10 + -6
-8w = -10 + -6

Combine like terms: -10 + -6 = -16
-8w = -16

Divide each side by '-8'.
w = 2

Simplifying
w = 2