2=lx+5l+2

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Solution for 2=lx+5l+2 equation: 


Simplifying
2 = lx + 5l + 2

Reorder the terms:
2 = 2 + 5l + lx

Add '-2' to each side of the equation.
2 + -2 = 2 + 5l + -2 + lx

Combine like terms: 2 + -2 = 0
0 = 2 + 5l + -2 + lx

Reorder the terms:
0 = 2 + -2 + 5l + lx

Combine like terms: 2 + -2 = 0
0 = 0 + 5l + lx
0 = 5l + lx

Solving
0 = 5l + lx

Solving for variable 'l'.

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

Add '-5l' to each side of the equation.
0 + -5l = 5l + -5l + lx
Remove the zero:
-5l = 5l + -5l + lx

Combine like terms: 5l + -5l = 0
-5l = 0 + lx
-5l = lx

Add '-1lx' to each side of the equation.
-5l + -1lx = lx + -1lx

Combine like terms: lx + -1lx = 0
-5l + -1lx = 0

Factor out the Greatest Common Factor (GCF), '-1l'.
-1l(5 + x) = 0

Ignore the factor -1.

Subproblem 1
Set the factor 'l' equal to zero and attempt to solve:

Simplifying
l = 0

Solving
l = 0

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

Simplifying
l = 0

Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Add '-1x' to each side of the equation.
x + -1x = -5 + -1x

Combine like terms: x + -1x = 0
0 = -5 + -1x

Simplifying
0 = -5 + -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
l = {0}

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