1=(0.5L)-(0.3L-1)

Solution for 1=(0.5L)-(0.3L-1) equation:

Simplifying
1 = (0.5L) + -1(0.3L + -1)

Reorder the terms:
1 = (0.5L) + -1(-1 + 0.3L)
1 = (0.5L) + (-1 * -1 + 0.3L * -1)
1 = (0.5L) + (1 + -0.3L)

Reorder the terms:
1 = 1 + (0.5L) + -0.3L

Combine like terms: (0.5L) + -0.3L = 0.2L
1 = 1 + 0.2L

Add '-1' to each side of the equation.
1 + -1 = 1 + -1 + 0.2L

Combine like terms: 1 + -1 = 0
0 = 1 + -1 + 0.2L

Combine like terms: 1 + -1 = 0
0 = 0 + 0.2L
0 = 0.2L

Solving
0 = 0.2L

Solving for variable 'L'.

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

Add '-0.2L' to each side of the equation.
0 + -0.2L = 0.2L + -0.2L
Remove the zero:
-0.2L = 0.2L + -0.2L

Combine like terms: 0.2L + -0.2L = 0.0
-0.2L = 0.0

Divide each side by '-0.2'.
L = 0

Simplifying
L = 0