2lx-6l+14=38

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Solution for 2lx-6l+14=38 equation:


Simplifying
2lx + -6l + 14 = 38

Reorder the terms:
14 + -6l + 2lx = 38

Solving
14 + -6l + 2lx = 38

Solving for variable 'l'.

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

Add '-14' to each side of the equation.
14 + -6l + -14 + 2lx = 38 + -14

Reorder the terms:
14 + -14 + -6l + 2lx = 38 + -14

Combine like terms: 14 + -14 = 0
0 + -6l + 2lx = 38 + -14
-6l + 2lx = 38 + -14

Combine like terms: 38 + -14 = 24
-6l + 2lx = 24

Reorder the terms:
-24 + -6l + 2lx = 24 + -24

Combine like terms: 24 + -24 = 0
-24 + -6l + 2lx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-12 + -3l + lx) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-12 + -3l + lx)' equal to zero and attempt to solve: Simplifying -12 + -3l + lx = 0 Solving -12 + -3l + lx = 0 Move all terms containing l to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -3l + 12 + lx = 0 + 12 Reorder the terms: -12 + 12 + -3l + lx = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -3l + lx = 0 + 12 -3l + lx = 0 + 12 Combine like terms: 0 + 12 = 12 -3l + lx = 12 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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