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

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

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

Reorder the terms:
w + 2(5 + w) = -5(w + 1) + -1
w + (5 * 2 + w * 2) = -5(w + 1) + -1
w + (10 + 2w) = -5(w + 1) + -1

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

Combine like terms: w + 2w = 3w
10 + 3w = -5(w + 1) + -1

Reorder the terms:
10 + 3w = -5(1 + w) + -1
10 + 3w = (1 * -5 + w * -5) + -1
10 + 3w = (-5 + -5w) + -1

Reorder the terms:
10 + 3w = -5 + -1 + -5w

Combine like terms: -5 + -1 = -6
10 + 3w = -6 + -5w

Solving
10 + 3w = -6 + -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.
10 + 3w + 5w = -6 + -5w + 5w

Combine like terms: 3w + 5w = 8w
10 + 8w = -6 + -5w + 5w

Combine like terms: -5w + 5w = 0
10 + 8w = -6 + 0
10 + 8w = -6

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

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

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

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

Simplifying
w = -2