2k(x-2)+6=0

Solution for 2k(x-2)+6=0 equation:

Simplifying
2k(x + -2) + 6 = 0

Reorder the terms:
2k(-2 + x) + 6 = 0
(-2 * 2k + x * 2k) + 6 = 0
(-4k + 2kx) + 6 = 0

Reorder the terms:
6 + -4k + 2kx = 0

Solving
6 + -4k + 2kx = 0

Solving for variable 'k'.

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

Add '-6' to each side of the equation.
6 + -4k + -6 + 2kx = 0 + -6

Reorder the terms:
6 + -6 + -4k + 2kx = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -4k + 2kx = 0 + -6
-4k + 2kx = 0 + -6

Combine like terms: 0 + -6 = -6
-4k + 2kx = -6

Reorder the terms:
6 + -4k + 2kx = -6 + 6

Combine like terms: -6 + 6 = 0
6 + -4k + 2kx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + -2k + kx) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(3 + -2k + kx)' equal to zero and attempt to solve:

Simplifying
3 + -2k + kx = 0

Solving
3 + -2k + kx = 0

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

Add '-3' to each side of the equation.
3 + -2k + -3 + kx = 0 + -3

Reorder the terms:
3 + -3 + -2k + kx = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2k + kx = 0 + -3
-2k + kx = 0 + -3

Combine like terms: 0 + -3 = -3
-2k + kx = -3

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.