2(5-n)=6+6n

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

Simplifying
2(5 + -1n) = 6 + 6n
(5 * 2 + -1n * 2) = 6 + 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 = -4
-8n = -4

Divide each side by '-8'.
n = 0.5

Simplifying
n = 0.5