((n-5)7)=(2(n+8))

Solution for ((n-5)7)=(2(n+8)) equation:

Simplifying
((n + -5) * 7) = (2(n + 8))

Reorder the terms:
((-5 + n) * 7) = (2(n + 8))

Reorder the terms for easier multiplication:
(7(-5 + n)) = (2(n + 8))
((-5 * 7 + n * 7)) = (2(n + 8))
((-35 + 7n)) = (2(n + 8))
(-35 + 7n) = (2(n + 8))

Remove parenthesis around (-35 + 7n)
-35 + 7n = (2(n + 8))

Reorder the terms:
-35 + 7n = (2(8 + n))
-35 + 7n = ((8 * 2 + n * 2))
-35 + 7n = ((16 + 2n))
-35 + 7n = (16 + 2n)

Remove parenthesis around (16 + 2n)
-35 + 7n = 16 + 2n

Solving
-35 + 7n = 16 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
-35 + 7n + -2n = 16 + 2n + -2n

Combine like terms: 7n + -2n = 5n
-35 + 5n = 16 + 2n + -2n

Combine like terms: 2n + -2n = 0
-35 + 5n = 16 + 0
-35 + 5n = 16

Add '35' to each side of the equation.
-35 + 35 + 5n = 16 + 35

Combine like terms: -35 + 35 = 0
0 + 5n = 16 + 35
5n = 16 + 35

Combine like terms: 16 + 35 = 51
5n = 51

Divide each side by '5'.
n = 10.2

Simplifying
n = 10.2