3(w+2)+2w=7(w-1)+9

Solution for 3(w+2)+2w=7(w-1)+9 equation:

Simplifying
3(w + 2) + 2w = 7(w + -1) + 9

Reorder the terms:
3(2 + w) + 2w = 7(w + -1) + 9
(2 * 3 + w * 3) + 2w = 7(w + -1) + 9
(6 + 3w) + 2w = 7(w + -1) + 9

Combine like terms: 3w + 2w = 5w
6 + 5w = 7(w + -1) + 9

Reorder the terms:
6 + 5w = 7(-1 + w) + 9
6 + 5w = (-1 * 7 + w * 7) + 9
6 + 5w = (-7 + 7w) + 9

Reorder the terms:
6 + 5w = -7 + 9 + 7w

Combine like terms: -7 + 9 = 2
6 + 5w = 2 + 7w

Solving
6 + 5w = 2 + 7w

Solving for variable 'w'.

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

Add '-7w' to each side of the equation.
6 + 5w + -7w = 2 + 7w + -7w

Combine like terms: 5w + -7w = -2w
6 + -2w = 2 + 7w + -7w

Combine like terms: 7w + -7w = 0
6 + -2w = 2 + 0
6 + -2w = 2

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

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

Combine like terms: 2 + -6 = -4
-2w = -4

Divide each side by '-2'.
w = 2

Simplifying
w = 2