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

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

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

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

Reorder the terms:
6 + 3w = 4(-3 + w)
6 + 3w = (-3 * 4 + w * 4)
6 + 3w = (-12 + 4w)

Solving
6 + 3w = -12 + 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 = -12 + 4w + -4w

Combine like terms: 3w + -4w = -1w
6 + -1w = -12 + 4w + -4w

Combine like terms: 4w + -4w = 0
6 + -1w = -12 + 0
6 + -1w = -12

Add '-6' to each side of the equation.
6 + -6 + -1w = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -1w = -12 + -6
-1w = -12 + -6

Combine like terms: -12 + -6 = -18
-1w = -18

Divide each side by '-1'.
w = 18

Simplifying
w = 18