2(2w-3)=3w

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

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

Reorder the terms:
2(-3 + 2w) = 3w
(-3 * 2 + 2w * 2) = 3w
(-6 + 4w) = 3w

Solving
-6 + 4w = 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 + 4w + -3w = 3w + -3w

Combine like terms: 4w + -3w = 1w
-6 + 1w = 3w + -3w

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

Add '6' to each side of the equation.
-6 + 6 + 1w = 0 + 6

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

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

Divide each side by '1'.
w = 6

Simplifying
w = 6