7w-6=5(w+6)

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

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

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

Reorder the terms:
-6 + 7w = 5(6 + w)
-6 + 7w = (6 * 5 + w * 5)
-6 + 7w = (30 + 5w)

Solving
-6 + 7w = 30 + 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 = 30 + 5w + -5w

Combine like terms: 7w + -5w = 2w
-6 + 2w = 30 + 5w + -5w

Combine like terms: 5w + -5w = 0
-6 + 2w = 30 + 0
-6 + 2w = 30

Add '6' to each side of the equation.
-6 + 6 + 2w = 30 + 6

Combine like terms: -6 + 6 = 0
0 + 2w = 30 + 6
2w = 30 + 6

Combine like terms: 30 + 6 = 36
2w = 36

Divide each side by '2'.
w = 18

Simplifying
w = 18