3(w+1)=2w-6

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

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

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

Reorder the terms:
3 + 3w = -6 + 2w

Solving
3 + 3w = -6 + 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
3 + 3w + -2w = -6 + 2w + -2w

Combine like terms: 3w + -2w = 1w
3 + 1w = -6 + 2w + -2w

Combine like terms: 2w + -2w = 0
3 + 1w = -6 + 0
3 + 1w = -6

Add '-3' to each side of the equation.
3 + -3 + 1w = -6 + -3

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

Combine like terms: -6 + -3 = -9
1w = -9

Divide each side by '1'.
w = -9

Simplifying
w = -9