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

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

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

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

Reorder the terms:
-6 + -6w = 5w + -5 + 2(1 + 2w)
-6 + -6w = 5w + -5 + (1 * 2 + 2w * 2)
-6 + -6w = 5w + -5 + (2 + 4w)

Reorder the terms:
-6 + -6w = -5 + 2 + 5w + 4w

Combine like terms: -5 + 2 = -3
-6 + -6w = -3 + 5w + 4w

Combine like terms: 5w + 4w = 9w
-6 + -6w = -3 + 9w

Solving
-6 + -6w = -3 + 9w

Solving for variable 'w'.

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

Add '-9w' to each side of the equation.
-6 + -6w + -9w = -3 + 9w + -9w

Combine like terms: -6w + -9w = -15w
-6 + -15w = -3 + 9w + -9w

Combine like terms: 9w + -9w = 0
-6 + -15w = -3 + 0
-6 + -15w = -3

Add '6' to each side of the equation.
-6 + 6 + -15w = -3 + 6

Combine like terms: -6 + 6 = 0
0 + -15w = -3 + 6
-15w = -3 + 6

Combine like terms: -3 + 6 = 3
-15w = 3

Divide each side by '-15'.
w = -0.2

Simplifying
w = -0.2