2*(5*(w+3)-(w+1))=3*(1+w)

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

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

Reorder the terms:
2(5(3 + w) + -1(w + 1)) = 3(1 + w)
2((3 * 5 + w * 5) + -1(w + 1)) = 3(1 + w)
2((15 + 5w) + -1(w + 1)) = 3(1 + w)

Reorder the terms:
2(15 + 5w + -1(1 + w)) = 3(1 + w)
2(15 + 5w + (1 * -1 + w * -1)) = 3(1 + w)
2(15 + 5w + (-1 + -1w)) = 3(1 + w)

Reorder the terms:
2(15 + -1 + 5w + -1w) = 3(1 + w)

Combine like terms: 15 + -1 = 14
2(14 + 5w + -1w) = 3(1 + w)

Combine like terms: 5w + -1w = 4w
2(14 + 4w) = 3(1 + w)
(14 * 2 + 4w * 2) = 3(1 + w)
(28 + 8w) = 3(1 + w)
28 + 8w = (1 * 3 + w * 3)
28 + 8w = (3 + 3w)

Solving
28 + 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.
28 + 8w + -3w = 3 + 3w + -3w

Combine like terms: 8w + -3w = 5w
28 + 5w = 3 + 3w + -3w

Combine like terms: 3w + -3w = 0
28 + 5w = 3 + 0
28 + 5w = 3

Add '-28' to each side of the equation.
28 + -28 + 5w = 3 + -28

Combine like terms: 28 + -28 = 0
0 + 5w = 3 + -28
5w = 3 + -28

Combine like terms: 3 + -28 = -25
5w = -25

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

Simplifying
w = -5