-2(4w-3)+6w=3+2(2w-3)

Solution for -2(4w-3)+6w=3+2(2w-3) equation:

Simplifying
-2(4w + -3) + 6w = 3 + 2(2w + -3)

Reorder the terms:
-2(-3 + 4w) + 6w = 3 + 2(2w + -3)
(-3 * -2 + 4w * -2) + 6w = 3 + 2(2w + -3)
(6 + -8w) + 6w = 3 + 2(2w + -3)

Combine like terms: -8w + 6w = -2w
6 + -2w = 3 + 2(2w + -3)

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

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

Solving
6 + -2w = -3 + 4w

Solving for variable 'w'.

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

Add '-4w' to each side of the equation.
6 + -2w + -4w = -3 + 4w + -4w

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

Combine like terms: 4w + -4w = 0
6 + -6w = -3 + 0
6 + -6w = -3

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

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

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

Divide each side by '-6'.
w = 1.5

Simplifying
w = 1.5