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

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

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

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

Solving
-12 + 3w = 6 + 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
-12 + 3w + -2w = 6 + 2w + -2w

Combine like terms: 3w + -2w = 1w
-12 + 1w = 6 + 2w + -2w

Combine like terms: 2w + -2w = 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