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

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

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

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

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

Solving
-6 + 9w = 6 + 6w

Solving for variable 'w'.

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

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

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

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

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

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

Combine like terms: 6 + 6 = 12
3w = 12

Divide each side by '3'.
w = 4

Simplifying
w = 4