3(w+2)=2(w-7)

Solution for 3(w+2)=2(w-7) equation:

Simplifying
3(w + 2) = 2(w + -7)

Reorder the terms:
3(2 + w) = 2(w + -7)
(2 * 3 + w * 3) = 2(w + -7)
(6 + 3w) = 2(w + -7)

Reorder the terms:
6 + 3w = 2(-7 + w)
6 + 3w = (-7 * 2 + w * 2)
6 + 3w = (-14 + 2w)

Solving
6 + 3w = -14 + 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.
6 + 3w + -2w = -14 + 2w + -2w

Combine like terms: 3w + -2w = 1w
6 + 1w = -14 + 2w + -2w

Combine like terms: 2w + -2w = 0
6 + 1w = -14 + 0
6 + 1w = -14

Add '-6' to each side of the equation.
6 + -6 + 1w = -14 + -6

Combine like terms: 6 + -6 = 0
0 + 1w = -14 + -6
1w = -14 + -6

Combine like terms: -14 + -6 = -20
1w = -20

Divide each side by '1'.
w = -20

Simplifying
w = -20