5L+(-6)+12L=3L-27

Solution for 5L+(-6)+12L=3L-27 equation:

Simplifying
5L + (-6) + 12L = 3L + -27
5L + -6 + 12L = 3L + -27

Reorder the terms:
-6 + 5L + 12L = 3L + -27

Combine like terms: 5L + 12L = 17L
-6 + 17L = 3L + -27

Reorder the terms:
-6 + 17L = -27 + 3L

Solving
-6 + 17L = -27 + 3L

Solving for variable 'L'.

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

Add '-3L' to each side of the equation.
-6 + 17L + -3L = -27 + 3L + -3L

Combine like terms: 17L + -3L = 14L
-6 + 14L = -27 + 3L + -3L

Combine like terms: 3L + -3L = 0
-6 + 14L = -27 + 0
-6 + 14L = -27

Add '6' to each side of the equation.
-6 + 6 + 14L = -27 + 6

Combine like terms: -6 + 6 = 0
0 + 14L = -27 + 6
14L = -27 + 6

Combine like terms: -27 + 6 = -21
14L = -21

Divide each side by '14'.
L = -1.5

Simplifying
L = -1.5