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

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

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

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

Reorder the terms:
6 + 3w = 4(2 + w)
6 + 3w = (2 * 4 + w * 4)
6 + 3w = (8 + 4w)

Solving
6 + 3w = 8 + 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 = 8 + 4w + -4w

Combine like terms: 3w + -4w = -1w
6 + -1w = 8 + 4w + -4w

Combine like terms: 4w + -4w = 0
6 + -1w = 8 + 0
6 + -1w = 8

Add '-6' to each side of the equation.
6 + -6 + -1w = 8 + -6

Combine like terms: 6 + -6 = 0
0 + -1w = 8 + -6
-1w = 8 + -6

Combine like terms: 8 + -6 = 2
-1w = 2

Divide each side by '-1'.
w = -2

Simplifying
w = -2