6s+6=4((s-2)+6)

Solution for 6s+6=4((s-2)+6) equation:

Simplifying
6s + 6 = 4((s + -2) + 6)

Reorder the terms:
6 + 6s = 4((s + -2) + 6)

Reorder the terms:
6 + 6s = 4((-2 + s) + 6)

Remove parenthesis around (-2 + s)
6 + 6s = 4(-2 + s + 6)

Reorder the terms:
6 + 6s = 4(-2 + 6 + s)

Combine like terms: -2 + 6 = 4
6 + 6s = 4(4 + s)
6 + 6s = (4 * 4 + s * 4)
6 + 6s = (16 + 4s)

Solving
6 + 6s = 16 + 4s

Solving for variable 's'.

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

Add '-4s' to each side of the equation.
6 + 6s + -4s = 16 + 4s + -4s

Combine like terms: 6s + -4s = 2s
6 + 2s = 16 + 4s + -4s

Combine like terms: 4s + -4s = 0
6 + 2s = 16 + 0
6 + 2s = 16

Add '-6' to each side of the equation.
6 + -6 + 2s = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 2s = 16 + -6
2s = 16 + -6

Combine like terms: 16 + -6 = 10
2s = 10

Divide each side by '2'.
s = 5

Simplifying
s = 5