lx-3l+2=2

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

Simplifying
lx + -3l + 2 = 2

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

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

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

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

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

Solving
-3l + lx = 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), 'l'.
l(-3 + x) = 0

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 '(-3 + x)' equal to zero and attempt to solve:

Simplifying
-3 + x = 0

Solving
-3 + x = 0

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

Add '3' to each side of the equation.
-3 + 3 + x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + x = 0 + 3
x = 0 + 3

Combine like terms: 0 + 3 = 3
x = 3

Add '-1x' to each side of the equation.
x + -1x = 3 + -1x

Combine like terms: x + -1x = 0
0 = 3 + -1x

Simplifying
0 = 3 + -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}