7w+6=5(w+4)

Solution for 7w+6=5(w+4) equation:

Simplifying
7w + 6 = 5(w + 4)

Reorder the terms:
6 + 7w = 5(w + 4)

Reorder the terms:
6 + 7w = 5(4 + w)
6 + 7w = (4 * 5 + w * 5)
6 + 7w = (20 + 5w)

Solving
6 + 7w = 20 + 5w

Solving for variable 'w'.

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

Add '-5w' to each side of the equation.
6 + 7w + -5w = 20 + 5w + -5w

Combine like terms: 7w + -5w = 2w
6 + 2w = 20 + 5w + -5w

Combine like terms: 5w + -5w = 0
6 + 2w = 20 + 0
6 + 2w = 20

Add '-6' to each side of the equation.
6 + -6 + 2w = 20 + -6

Combine like terms: 6 + -6 = 0
0 + 2w = 20 + -6
2w = 20 + -6

Combine like terms: 20 + -6 = 14
2w = 14

Divide each side by '2'.
w = 7

Simplifying
w = 7