n+3(n+2)=48

Solution for n+3(n+2)=48 equation:

Simplifying
n + 3(n + 2) = 48

Reorder the terms:
n + 3(2 + n) = 48
n + (2 * 3 + n * 3) = 48
n + (6 + 3n) = 48

Reorder the terms:
6 + n + 3n = 48

Combine like terms: n + 3n = 4n
6 + 4n = 48

Solving
6 + 4n = 48

Solving for variable 'n'.

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

Add '-6' to each side of the equation.
6 + -6 + 4n = 48 + -6

Combine like terms: 6 + -6 = 0
0 + 4n = 48 + -6
4n = 48 + -6

Combine like terms: 48 + -6 = 42
4n = 42

Divide each side by '4'.
n = 10.5

Simplifying
n = 10.5