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

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

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

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

Reorder the terms:
6 + 2w = 3(-3 + w)
6 + 2w = (-3 * 3 + w * 3)
6 + 2w = (-9 + 3w)

Solving
6 + 2w = -9 + 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.
6 + 2w + -3w = -9 + 3w + -3w

Combine like terms: 2w + -3w = -1w
6 + -1w = -9 + 3w + -3w

Combine like terms: 3w + -3w = 0
6 + -1w = -9 + 0
6 + -1w = -9

Add '-6' to each side of the equation.
6 + -6 + -1w = -9 + -6

Combine like terms: 6 + -6 = 0
0 + -1w = -9 + -6
-1w = -9 + -6

Combine like terms: -9 + -6 = -15
-1w = -15

Divide each side by '-1'.
w = 15

Simplifying
w = 15