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

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

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

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

Reorder the terms:
6 + 3w = 4(3 + 2w)
6 + 3w = (3 * 4 + 2w * 4)
6 + 3w = (12 + 8w)

Solving
6 + 3w = 12 + 8w

Solving for variable 'w'.

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

Add '-8w' to each side of the equation.
6 + 3w + -8w = 12 + 8w + -8w

Combine like terms: 3w + -8w = -5w
6 + -5w = 12 + 8w + -8w

Combine like terms: 8w + -8w = 0
6 + -5w = 12 + 0
6 + -5w = 12

Add '-6' to each side of the equation.
6 + -6 + -5w = 12 + -6

Combine like terms: 6 + -6 = 0
0 + -5w = 12 + -6
-5w = 12 + -6

Combine like terms: 12 + -6 = 6
-5w = 6

Divide each side by '-5'.
w = -1.2

Simplifying
w = -1.2