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

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

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

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

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

Solving
-6 + -6w = 10 + 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
-6 + -6w + -2w = 10 + 2w + -2w

Combine like terms: -6w + -2w = -8w
-6 + -8w = 10 + 2w + -2w

Combine like terms: 2w + -2w = 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