2(lx+4l+3)=6

Solution for 2(lx+4l+3)=6 equation:

Simplifying
2(lx + 4l + 3) = 6

Reorder the terms:
2(3 + 4l + lx) = 6
(3 * 2 + 4l * 2 + lx * 2) = 6
(6 + 8l + 2lx) = 6

Add '-6' to each side of the equation.
6 + 8l + -6 + 2lx = 6 + -6

Reorder the terms:
6 + -6 + 8l + 2lx = 6 + -6

Combine like terms: 6 + -6 = 0
0 + 8l + 2lx = 6 + -6
8l + 2lx = 6 + -6

Combine like terms: 6 + -6 = 0
8l + 2lx = 0

Solving
8l + 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(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}