12-3(2w-1)=7w-3(7+w)

Solution for 12-3(2w-1)=7w-3(7+w) equation:

Simplifying
12 + -3(2w + -1) = 7w + -3(7 + w)

Reorder the terms:
12 + -3(-1 + 2w) = 7w + -3(7 + w)
12 + (-1 * -3 + 2w * -3) = 7w + -3(7 + w)
12 + (3 + -6w) = 7w + -3(7 + w)

Combine like terms: 12 + 3 = 15
15 + -6w = 7w + -3(7 + w)
15 + -6w = 7w + (7 * -3 + w * -3)
15 + -6w = 7w + (-21 + -3w)

Reorder the terms:
15 + -6w = -21 + 7w + -3w

Combine like terms: 7w + -3w = 4w
15 + -6w = -21 + 4w

Solving
15 + -6w = -21 + 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.
15 + -6w + -4w = -21 + 4w + -4w

Combine like terms: -6w + -4w = -10w
15 + -10w = -21 + 4w + -4w

Combine like terms: 4w + -4w = 0
15 + -10w = -21 + 0
15 + -10w = -21

Add '-15' to each side of the equation.
15 + -15 + -10w = -21 + -15

Combine like terms: 15 + -15 = 0
0 + -10w = -21 + -15
-10w = -21 + -15

Combine like terms: -21 + -15 = -36
-10w = -36

Divide each side by '-10'.
w = 3.6

Simplifying
w = 3.6