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

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

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

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

Combine like terms: 6 + -2 = 4
4 + -4w = 5w + 2(5 + w)
4 + -4w = 5w + (5 * 2 + w * 2)
4 + -4w = 5w + (10 + 2w)

Reorder the terms:
4 + -4w = 10 + 5w + 2w

Combine like terms: 5w + 2w = 7w
4 + -4w = 10 + 7w

Solving
4 + -4w = 10 + 7w

Solving for variable 'w'.

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

Add '-7w' to each side of the equation.
4 + -4w + -7w = 10 + 7w + -7w

Combine like terms: -4w + -7w = -11w
4 + -11w = 10 + 7w + -7w

Combine like terms: 7w + -7w = 0
4 + -11w = 10 + 0
4 + -11w = 10

Add '-4' to each side of the equation.
4 + -4 + -11w = 10 + -4

Combine like terms: 4 + -4 = 0
0 + -11w = 10 + -4
-11w = 10 + -4

Combine like terms: 10 + -4 = 6
-11w = 6

Divide each side by '-11'.
w = -0.5454545455

Simplifying
w = -0.5454545455