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

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

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

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

Solving
-3 + 3w = 6 + 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
-3 + 3w + -2w = 6 + 2w + -2w

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

Combine like terms: 2w + -2w = 0
-3 + 1w = 6 + 0
-3 + 1w = 6

Add '3' to each side of the equation.
-3 + 3 + 1w = 6 + 3

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

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

Divide each side by '1'.
w = 9

Simplifying
w = 9