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

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

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

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

Combine like terms: 6 + -1 = 5
5 + -1w = 2(w + 5)

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

Solving
5 + -1w = 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.
5 + -1w + -2w = 10 + 2w + -2w

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

Combine like terms: 2w + -2w = 0
5 + -3w = 10 + 0
5 + -3w = 10

Add '-5' to each side of the equation.
5 + -5 + -3w = 10 + -5

Combine like terms: 5 + -5 = 0
0 + -3w = 10 + -5
-3w = 10 + -5

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

Divide each side by '-3'.
w = -1.666666667

Simplifying
w = -1.666666667