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

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

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

Reorder the terms:
12(-6 + w) = 3(w + 1)
(-6 * 12 + w * 12) = 3(w + 1)
(-72 + 12w) = 3(w + 1)

Reorder the terms:
-72 + 12w = 3(1 + w)
-72 + 12w = (1 * 3 + w * 3)
-72 + 12w = (3 + 3w)

Solving
-72 + 12w = 3 + 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.
-72 + 12w + -3w = 3 + 3w + -3w

Combine like terms: 12w + -3w = 9w
-72 + 9w = 3 + 3w + -3w

Combine like terms: 3w + -3w = 0
-72 + 9w = 3 + 0
-72 + 9w = 3

Add '72' to each side of the equation.
-72 + 72 + 9w = 3 + 72

Combine like terms: -72 + 72 = 0
0 + 9w = 3 + 72
9w = 3 + 72

Combine like terms: 3 + 72 = 75
9w = 75

Divide each side by '9'.
w = 8.333333333

Simplifying
w = 8.333333333