2(5+n)=-n-(5n+6)

Solution for 2(5+n)=-n-(5n+6) equation:

Simplifying
2(5 + n) = -1n + -1(5n + 6)
(5 * 2 + n * 2) = -1n + -1(5n + 6)
(10 + 2n) = -1n + -1(5n + 6)

Reorder the terms:
10 + 2n = -1n + -1(6 + 5n)
10 + 2n = -1n + (6 * -1 + 5n * -1)
10 + 2n = -1n + (-6 + -5n)

Reorder the terms:
10 + 2n = -6 + -1n + -5n

Combine like terms: -1n + -5n = -6n
10 + 2n = -6 + -6n

Solving
10 + 2n = -6 + -6n

Solving for variable 'n'.

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

Add '6n' to each side of the equation.
10 + 2n + 6n = -6 + -6n + 6n

Combine like terms: 2n + 6n = 8n
10 + 8n = -6 + -6n + 6n

Combine like terms: -6n + 6n = 0
10 + 8n = -6 + 0
10 + 8n = -6

Add '-10' to each side of the equation.
10 + -10 + 8n = -6 + -10

Combine like terms: 10 + -10 = 0
0 + 8n = -6 + -10
8n = -6 + -10

Combine like terms: -6 + -10 = -16
8n = -16

Divide each side by '8'.
n = -2

Simplifying
n = -2