3(2w+2)-(w+6)=10

Solution for 3(2w+2)-(w+6)=10 equation:

Simplifying
3(2w + 2) + -1(w + 6) = 10

Reorder the terms:
3(2 + 2w) + -1(w + 6) = 10
(2 * 3 + 2w * 3) + -1(w + 6) = 10
(6 + 6w) + -1(w + 6) = 10

Reorder the terms:
6 + 6w + -1(6 + w) = 10
6 + 6w + (6 * -1 + w * -1) = 10
6 + 6w + (-6 + -1w) = 10

Reorder the terms:
6 + -6 + 6w + -1w = 10

Combine like terms: 6 + -6 = 0
0 + 6w + -1w = 10
6w + -1w = 10

Combine like terms: 6w + -1w = 5w
5w = 10

Solving
5w = 10

Solving for variable 'w'.

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

Divide each side by '5'.
w = 2

Simplifying
w = 2