(3+2L)2+2L=48

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

Simplifying
(3 + 2L) * 2 + 2L = 48

Reorder the terms for easier multiplication:
2(3 + 2L) + 2L = 48
(3 * 2 + 2L * 2) + 2L = 48
(6 + 4L) + 2L = 48

Combine like terms: 4L + 2L = 6L
6 + 6L = 48

Solving
6 + 6L = 48

Solving for variable 'L'.

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

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

Combine like terms: 6 + -6 = 0
0 + 6L = 48 + -6
6L = 48 + -6

Combine like terms: 48 + -6 = 42
6L = 42

Divide each side by '6'.
L = 7

Simplifying
L = 7