2(n+5)+2n=42

Solution for 2(n+5)+2n=42 equation:

Simplifying
2(n + 5) + 2n = 42

Reorder the terms:
2(5 + n) + 2n = 42
(5 * 2 + n * 2) + 2n = 42
(10 + 2n) + 2n = 42

Combine like terms: 2n + 2n = 4n
10 + 4n = 42

Solving
10 + 4n = 42

Solving for variable 'n'.

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

Add '-10' to each side of the equation.
10 + -10 + 4n = 42 + -10

Combine like terms: 10 + -10 = 0
0 + 4n = 42 + -10
4n = 42 + -10

Combine like terms: 42 + -10 = 32
4n = 32

Divide each side by '4'.
n = 8

Simplifying
n = 8