2[(5w+3)+(-w-1)]=3(1+w)

Solution for 2[(5w+3)+(-w-1)]=3(1+w) equation:

Simplifying
2[(5w + 3) + (-1w + -1)] = 3(1 + w)

Reorder the terms:
2[(3 + 5w) + (-1w + -1)] = 3(1 + w)

Remove parenthesis around (3 + 5w)
2[3 + 5w + (-1w + -1)] = 3(1 + w)

Reorder the terms:
2[3 + 5w + (-1 + -1w)] = 3(1 + w)

Remove parenthesis around (-1 + -1w)
2[3 + 5w + -1 + -1w] = 3(1 + w)

Reorder the terms:
2[3 + -1 + 5w + -1w] = 3(1 + w)

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

Combine like terms: 5w + -1w = 4w
2[2 + 4w] = 3(1 + w)
[2 * 2 + 4w * 2] = 3(1 + w)
[4 + 8w] = 3(1 + w)
4 + 8w = (1 * 3 + w * 3)
4 + 8w = (3 + 3w)

Solving
4 + 8w = 3 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
4 + 8w + -3w = 3 + 3w + -3w

Combine like terms: 8w + -3w = 5w
4 + 5w = 3 + 3w + -3w

Combine like terms: 3w + -3w = 0
4 + 5w = 3 + 0
4 + 5w = 3

Add '-4' to each side of the equation.
4 + -4 + 5w = 3 + -4

Combine like terms: 4 + -4 = 0
0 + 5w = 3 + -4
5w = 3 + -4

Combine like terms: 3 + -4 = -1
5w = -1

Divide each side by '5'.
w = -0.2

Simplifying
w = -0.2