37=-3+5(x+6)L

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Solution for 37=-3+5(x+6)L equation: 


Simplifying
37 = -3 + 5(x + 6) * L

Reorder the terms:
37 = -3 + 5(6 + x) * L

Reorder the terms for easier multiplication:
37 = -3 + 5L(6 + x)
37 = -3 + (6 * 5L + x * 5L)
37 = -3 + (30L + 5xL)

Solving
37 = -3 + 30L + 5xL

Solving for variable 'L'.

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

Add '-30L' to each side of the equation.
37 + -30L = -3 + 30L + -30L + 5xL

Combine like terms: 30L + -30L = 0
37 + -30L = -3 + 0 + 5xL
37 + -30L = -3 + 5xL

Add '-5xL' to each side of the equation.
37 + -30L + -5xL = -3 + 5xL + -5xL

Combine like terms: 5xL + -5xL = 0
37 + -30L + -5xL = -3 + 0
37 + -30L + -5xL = -3

Add '-37' to each side of the equation.
37 + -30L + -37 + -5xL = -3 + -37

Reorder the terms:
37 + -37 + -30L + -5xL = -3 + -37

Combine like terms: 37 + -37 = 0
0 + -30L + -5xL = -3 + -37
-30L + -5xL = -3 + -37

Combine like terms: -3 + -37 = -40
-30L + -5xL = -40

Reorder the terms:
40 + -30L + -5xL = -40 + 40

Combine like terms: -40 + 40 = 0
40 + -30L + -5xL = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(8 + -6L + -1xL) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(8 + -6L + -1xL)' equal to zero and attempt to solve:

Simplifying
8 + -6L + -1xL = 0

Solving
8 + -6L + -1xL = 0

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

Add '-8' to each side of the equation.
8 + -6L + -8 + -1xL = 0 + -8

Reorder the terms:
8 + -8 + -6L + -1xL = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -6L + -1xL = 0 + -8
-6L + -1xL = 0 + -8

Combine like terms: 0 + -8 = -8
-6L + -1xL = -8

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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