6+n=2(5+n)

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

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

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

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

Combine like terms: 2n + -2n = 0
6 + -1n = 10 + 0
6 + -1n = 10

Add '-6' to each side of the equation.
6 + -6 + -1n = 10 + -6

Combine like terms: 6 + -6 = 0
0 + -1n = 10 + -6
-1n = 10 + -6

Combine like terms: 10 + -6 = 4
-1n = 4

Divide each side by '-1'.
n = -4

Simplifying
n = -4