3(2-w)=2(-w+9)

Solution for 3(2-w)=2(-w+9) equation:

Simplifying
3(2 + -1w) = 2(-1w + 9)
(2 * 3 + -1w * 3) = 2(-1w + 9)
(6 + -3w) = 2(-1w + 9)

Reorder the terms:
6 + -3w = 2(9 + -1w)
6 + -3w = (9 * 2 + -1w * 2)
6 + -3w = (18 + -2w)

Solving
6 + -3w = 18 + -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.
6 + -3w + 2w = 18 + -2w + 2w

Combine like terms: -3w + 2w = -1w
6 + -1w = 18 + -2w + 2w

Combine like terms: -2w + 2w = 0
6 + -1w = 18 + 0
6 + -1w = 18

Add '-6' to each side of the equation.
6 + -6 + -1w = 18 + -6

Combine like terms: 6 + -6 = 0
0 + -1w = 18 + -6
-1w = 18 + -6

Combine like terms: 18 + -6 = 12
-1w = 12

Divide each side by '-1'.
w = -12

Simplifying
w = -12