2(2w-3)=6w

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

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

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

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

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

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

Add '6' to each side of the equation.
-6 + 6 + -2w = 0 + 6

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

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

Divide each side by '-2'.
w = -3

Simplifying
w = -3