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

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

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

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

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

Solving
6 + 3w = -5 + 5w

Solving for variable 'w'.

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

Add '-5w' to each side of the equation.
6 + 3w + -5w = -5 + 5w + -5w

Combine like terms: 3w + -5w = -2w
6 + -2w = -5 + 5w + -5w

Combine like terms: 5w + -5w = 0
6 + -2w = -5 + 0
6 + -2w = -5

Add '-6' to each side of the equation.
6 + -6 + -2w = -5 + -6

Combine like terms: 6 + -6 = 0
0 + -2w = -5 + -6
-2w = -5 + -6

Combine like terms: -5 + -6 = -11
-2w = -11

Divide each side by '-2'.
w = 5.5

Simplifying
w = 5.5