7w-6=4(w+6)

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

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

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

Reorder the terms:
-6 + 7w = 4(6 + w)
-6 + 7w = (6 * 4 + w * 4)
-6 + 7w = (24 + 4w)

Solving
-6 + 7w = 24 + 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 + 7w + -4w = 24 + 4w + -4w

Combine like terms: 7w + -4w = 3w
-6 + 3w = 24 + 4w + -4w

Combine like terms: 4w + -4w = 0
-6 + 3w = 24 + 0
-6 + 3w = 24

Add '6' to each side of the equation.
-6 + 6 + 3w = 24 + 6

Combine like terms: -6 + 6 = 0
0 + 3w = 24 + 6
3w = 24 + 6

Combine like terms: 24 + 6 = 30
3w = 30

Divide each side by '3'.
w = 10

Simplifying
w = 10