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

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

Simplifying
3(w + 2) + -2(w + -7) = 0

Reorder the terms:
3(2 + w) + -2(w + -7) = 0
(2 * 3 + w * 3) + -2(w + -7) = 0
(6 + 3w) + -2(w + -7) = 0

Reorder the terms:
6 + 3w + -2(-7 + w) = 0
6 + 3w + (-7 * -2 + w * -2) = 0
6 + 3w + (14 + -2w) = 0

Reorder the terms:
6 + 14 + 3w + -2w = 0

Combine like terms: 6 + 14 = 20
20 + 3w + -2w = 0

Combine like terms: 3w + -2w = 1w
20 + 1w = 0

Solving
20 + 1w = 0

Solving for variable 'w'.

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

Add '-20' to each side of the equation.
20 + -20 + 1w = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 1w = 0 + -20
1w = 0 + -20

Combine like terms: 0 + -20 = -20
1w = -20

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

Simplifying
w = -20