96=2L+2(2L-3)

Solution for 96=2L+2(2L-3) equation:

Simplifying
96 = 2L + 2(2L + -3)

Reorder the terms:
96 = 2L + 2(-3 + 2L)
96 = 2L + (-3 * 2 + 2L * 2)
96 = 2L + (-6 + 4L)

Reorder the terms:
96 = -6 + 2L + 4L

Combine like terms: 2L + 4L = 6L
96 = -6 + 6L

Solving
96 = -6 + 6L

Solving for variable 'L'.

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

Add '-6L' to each side of the equation.
96 + -6L = -6 + 6L + -6L

Combine like terms: 6L + -6L = 0
96 + -6L = -6 + 0
96 + -6L = -6

Add '-96' to each side of the equation.
96 + -96 + -6L = -6 + -96

Combine like terms: 96 + -96 = 0
0 + -6L = -6 + -96
-6L = -6 + -96

Combine like terms: -6 + -96 = -102
-6L = -102

Divide each side by '-6'.
L = 17

Simplifying
L = 17