2lx-3l=5l

Solution for 2lx-3l=5l equation:

Simplifying
2lx + -3l = 5l

Reorder the terms:
-3l + 2lx = 5l

Solving
-3l + 2lx = 5l

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.
-3l + -5l + 2lx = 5l + -5l

Combine like terms: -3l + -5l = -8l
-8l + 2lx = 5l + -5l

Combine like terms: 5l + -5l = 0
-8l + 2lx = 0

Factor out the Greatest Common Factor (GCF), '2l'.
2l(-4 + x) = 0

Ignore the factor 2.
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 '(-4 + x)' equal to zero and attempt to solve:

Simplifying
-4 + x = 0

Solving
-4 + x = 0

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

Add '4' to each side of the equation.
-4 + 4 + x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + x = 0 + 4
x = 0 + 4

Combine like terms: 0 + 4 = 4
x = 4

Add '-1x' to each side of the equation.
x + -1x = 4 + -1x

Combine like terms: x + -1x = 0
0 = 4 + -1x

Simplifying
0 = 4 + -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}