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

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

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

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

Solving
3 + 3w = -12 + 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 = -12 + 2w + -2w

Combine like terms: 3w + -2w = 1w
3 + 1w = -12 + 2w + -2w

Combine like terms: 2w + -2w = 0
3 + 1w = -12 + 0
3 + 1w = -12

Add '-3' to each side of the equation.
3 + -3 + 1w = -12 + -3

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

Combine like terms: -12 + -3 = -15
1w = -15

Divide each side by '1'.
w = -15

Simplifying
w = -15