3(2w+2)=4(w+7)

Solution for 3(2w+2)=4(w+7) equation:

Simplifying
3(2w + 2) = 4(w + 7)

Reorder the terms:
3(2 + 2w) = 4(w + 7)
(2 * 3 + 2w * 3) = 4(w + 7)
(6 + 6w) = 4(w + 7)

Reorder the terms:
6 + 6w = 4(7 + w)
6 + 6w = (7 * 4 + w * 4)
6 + 6w = (28 + 4w)

Solving
6 + 6w = 28 + 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 + 6w + -4w = 28 + 4w + -4w

Combine like terms: 6w + -4w = 2w
6 + 2w = 28 + 4w + -4w

Combine like terms: 4w + -4w = 0
6 + 2w = 28 + 0
6 + 2w = 28

Add '-6' to each side of the equation.
6 + -6 + 2w = 28 + -6

Combine like terms: 6 + -6 = 0
0 + 2w = 28 + -6
2w = 28 + -6

Combine like terms: 28 + -6 = 22
2w = 22

Divide each side by '2'.
w = 11

Simplifying
w = 11