2w+2(2w-3)=6

Solution for 2w+2(2w-3)=6 equation:

Simplifying
2w + 2(2w + -3) = 6

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

Reorder the terms:
-6 + 2w + 4w = 6

Combine like terms: 2w + 4w = 6w
-6 + 6w = 6

Solving
-6 + 6w = 6

Solving for variable 'w'.

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

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

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

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

Divide each side by '6'.
w = 2

Simplifying
w = 2