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

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

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

Reorder the terms:
4(3 + w) = 3(w + -2)
(3 * 4 + w * 4) = 3(w + -2)
(12 + 4w) = 3(w + -2)

Reorder the terms:
12 + 4w = 3(-2 + w)
12 + 4w = (-2 * 3 + w * 3)
12 + 4w = (-6 + 3w)

Solving
12 + 4w = -6 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
12 + 4w + -3w = -6 + 3w + -3w

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

Combine like terms: 3w + -3w = 0
12 + 1w = -6 + 0
12 + 1w = -6

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

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

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

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

Simplifying
w = -18