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

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

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

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

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

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

Combine like terms: 15 + 1 = 16
2[16 + 5w + -1w] = 3(2 + w) + 1

Combine like terms: 5w + -1w = 4w
2[16 + 4w] = 3(2 + w) + 1
[16 * 2 + 4w * 2] = 3(2 + w) + 1
[32 + 8w] = 3(2 + w) + 1
32 + 8w = (2 * 3 + w * 3) + 1
32 + 8w = (6 + 3w) + 1

Reorder the terms:
32 + 8w = 6 + 1 + 3w

Combine like terms: 6 + 1 = 7
32 + 8w = 7 + 3w

Solving
32 + 8w = 7 + 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.
32 + 8w + -3w = 7 + 3w + -3w

Combine like terms: 8w + -3w = 5w
32 + 5w = 7 + 3w + -3w

Combine like terms: 3w + -3w = 0
32 + 5w = 7 + 0
32 + 5w = 7

Add '-32' to each side of the equation.
32 + -32 + 5w = 7 + -32

Combine like terms: 32 + -32 = 0
0 + 5w = 7 + -32
5w = 7 + -32

Combine like terms: 7 + -32 = -25
5w = -25

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

Simplifying
w = -5