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

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

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

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

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

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

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

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

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

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

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

Add '32' to each side of the equation.
-32 + 32 + 5w = 3 + 32

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

Combine like terms: 3 + 32 = 35
5w = 35

Divide each side by '5'.
w = 7

Simplifying
w = 7