2lx-2l+3=3

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

Simplifying
2lx + -2l + 3 = 3

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

Add '-3' to each side of the equation.
3 + -2l + -3 + 2lx = 3 + -3

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

Combine like terms: 3 + -3 = 0
0 + -2l + 2lx = 3 + -3
-2l + 2lx = 3 + -3

Combine like terms: 3 + -3 = 0
-2l + 2lx = 0

Solving
-2l + 2lx = 0

Solving for variable 'l'.

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

Factor out the Greatest Common Factor (GCF), '2l'.
2l(-1 + 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 '(-1 + x)' equal to zero and attempt to solve:

Simplifying
-1 + x = 0

Solving
-1 + x = 0

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

Add '1' to each side of the equation.
-1 + 1 + x = 0 + 1

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

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

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

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

Simplifying
0 = 1 + -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}