3(w+2)=4w-9

Solution for 3(w+2)=4w-9 equation:

Simplifying
3(w + 2) = 4w + -9

Reorder the terms:
3(2 + w) = 4w + -9
(2 * 3 + w * 3) = 4w + -9
(6 + 3w) = 4w + -9

Reorder the terms:
6 + 3w = -9 + 4w

Solving
6 + 3w = -9 + 4w

Solving for variable 'w'.

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

Add '-4w' to each side of the equation.
6 + 3w + -4w = -9 + 4w + -4w

Combine like terms: 3w + -4w = -1w
6 + -1w = -9 + 4w + -4w

Combine like terms: 4w + -4w = 0
6 + -1w = -9 + 0
6 + -1w = -9

Add '-6' to each side of the equation.
6 + -6 + -1w = -9 + -6

Combine like terms: 6 + -6 = 0
0 + -1w = -9 + -6
-1w = -9 + -6

Combine like terms: -9 + -6 = -15
-1w = -15

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

Simplifying
w = 15