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

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

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

Reorder the terms:
2(3 + w) + 5 = 3(w + -1)
(3 * 2 + w * 2) + 5 = 3(w + -1)
(6 + 2w) + 5 = 3(w + -1)

Reorder the terms:
6 + 5 + 2w = 3(w + -1)

Combine like terms: 6 + 5 = 11
11 + 2w = 3(w + -1)

Reorder the terms:
11 + 2w = 3(-1 + w)
11 + 2w = (-1 * 3 + w * 3)
11 + 2w = (-3 + 3w)

Solving
11 + 2w = -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.
11 + 2w + -3w = -3 + 3w + -3w

Combine like terms: 2w + -3w = -1w
11 + -1w = -3 + 3w + -3w

Combine like terms: 3w + -3w = 0
11 + -1w = -3 + 0
11 + -1w = -3

Add '-11' to each side of the equation.
11 + -11 + -1w = -3 + -11

Combine like terms: 11 + -11 = 0
0 + -1w = -3 + -11
-1w = -3 + -11

Combine like terms: -3 + -11 = -14
-1w = -14

Divide each side by '-1'.
w = 14

Simplifying
w = 14