3(7w+2)=2(w+3)

Solution for 3(7w+2)=2(w+3) equation:

Simplifying
3(7w + 2) = 2(w + 3)

Reorder the terms:
3(2 + 7w) = 2(w + 3)
(2 * 3 + 7w * 3) = 2(w + 3)
(6 + 21w) = 2(w + 3)

Reorder the terms:
6 + 21w = 2(3 + w)
6 + 21w = (3 * 2 + w * 2)
6 + 21w = (6 + 2w)

Add '-6' to each side of the equation.
6 + -6 + 21w = 6 + -6 + 2w

Combine like terms: 6 + -6 = 0
0 + 21w = 6 + -6 + 2w
21w = 6 + -6 + 2w

Combine like terms: 6 + -6 = 0
21w = 0 + 2w
21w = 2w

Solving
21w = 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.
21w + -2w = 2w + -2w

Combine like terms: 21w + -2w = 19w
19w = 2w + -2w

Combine like terms: 2w + -2w = 0
19w = 0

Divide each side by '19'.
w = 0

Simplifying
w = 0