12-3(2w+1)=6w-3(6+w)

Solution for 12-3(2w+1)=6w-3(6+w) equation:

Simplifying
12 + -3(2w + 1) = 6w + -3(6 + w)

Reorder the terms:
12 + -3(1 + 2w) = 6w + -3(6 + w)
12 + (1 * -3 + 2w * -3) = 6w + -3(6 + w)
12 + (-3 + -6w) = 6w + -3(6 + w)

Combine like terms: 12 + -3 = 9
9 + -6w = 6w + -3(6 + w)
9 + -6w = 6w + (6 * -3 + w * -3)
9 + -6w = 6w + (-18 + -3w)

Reorder the terms:
9 + -6w = -18 + 6w + -3w

Combine like terms: 6w + -3w = 3w
9 + -6w = -18 + 3w

Solving
9 + -6w = -18 + 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.
9 + -6w + -3w = -18 + 3w + -3w

Combine like terms: -6w + -3w = -9w
9 + -9w = -18 + 3w + -3w

Combine like terms: 3w + -3w = 0
9 + -9w = -18 + 0
9 + -9w = -18

Add '-9' to each side of the equation.
9 + -9 + -9w = -18 + -9

Combine like terms: 9 + -9 = 0
0 + -9w = -18 + -9
-9w = -18 + -9

Combine like terms: -18 + -9 = -27
-9w = -27

Divide each side by '-9'.
w = 3

Simplifying
w = 3