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

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

Simplifying
3(w + 2) + -1(12 + -1w) = 0

Reorder the terms:
3(2 + w) + -1(12 + -1w) = 0
(2 * 3 + w * 3) + -1(12 + -1w) = 0
(6 + 3w) + -1(12 + -1w) = 0
6 + 3w + (12 * -1 + -1w * -1) = 0
6 + 3w + (-12 + 1w) = 0

Reorder the terms:
6 + -12 + 3w + 1w = 0

Combine like terms: 6 + -12 = -6
-6 + 3w + 1w = 0

Combine like terms: 3w + 1w = 4w
-6 + 4w = 0

Solving
-6 + 4w = 0

Solving for variable 'w'.

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

Add '6' to each side of the equation.
-6 + 6 + 4w = 0 + 6

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

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

Divide each side by '4'.
w = 1.5

Simplifying
w = 1.5