-2(2w-3)+6w=6+2(3w-9)

Solution for -2(2w-3)+6w=6+2(3w-9) equation:

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

Reorder the terms:
-2(-3 + 2w) + 6w = 6 + 2(3w + -9)
(-3 * -2 + 2w * -2) + 6w = 6 + 2(3w + -9)
(6 + -4w) + 6w = 6 + 2(3w + -9)

Combine like terms: -4w + 6w = 2w
6 + 2w = 6 + 2(3w + -9)

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

Combine like terms: 6 + -18 = -12
6 + 2w = -12 + 6w

Solving
6 + 2w = -12 + 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 + 2w + -6w = -12 + 6w + -6w

Combine like terms: 2w + -6w = -4w
6 + -4w = -12 + 6w + -6w

Combine like terms: 6w + -6w = 0
6 + -4w = -12 + 0
6 + -4w = -12

Add '-6' to each side of the equation.
6 + -6 + -4w = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -4w = -12 + -6
-4w = -12 + -6

Combine like terms: -12 + -6 = -18
-4w = -18

Divide each side by '-4'.
w = 4.5

Simplifying
w = 4.5