2kx-3k=2x+4+3kx

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Solution for 2kx-3k=2x+4+3kx equation:


Simplifying
2kx + -3k = 2x + 4 + 3kx

Reorder the terms:
-3k + 2kx = 2x + 4 + 3kx

Reorder the terms:
-3k + 2kx = 4 + 3kx + 2x

Solving
-3k + 2kx = 4 + 3kx + 2x

Solving for variable 'k'.

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

Add '-3kx' to each side of the equation.
-3k + 2kx + -3kx = 4 + 3kx + -3kx + 2x

Combine like terms: 2kx + -3kx = -1kx
-3k + -1kx = 4 + 3kx + -3kx + 2x

Combine like terms: 3kx + -3kx = 0
-3k + -1kx = 4 + 0 + 2x
-3k + -1kx = 4 + 2x

Reorder the terms:
-4 + -3k + -1kx + -2x = 4 + 2x + -4 + -2x

Reorder the terms:
-4 + -3k + -1kx + -2x = 4 + -4 + 2x + -2x

Combine like terms: 4 + -4 = 0
-4 + -3k + -1kx + -2x = 0 + 2x + -2x
-4 + -3k + -1kx + -2x = 2x + -2x

Combine like terms: 2x + -2x = 0
-4 + -3k + -1kx + -2x = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(4 + 3k + kx + 2x) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(4 + 3k + kx + 2x)' equal to zero and attempt to solve: Simplifying 4 + 3k + kx + 2x = 0 Solving 4 + 3k + kx + 2x = 0 Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 3k + kx + -4 + 2x = 0 + -4 Reorder the terms: 4 + -4 + 3k + kx + 2x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3k + kx + 2x = 0 + -4 3k + kx + 2x = 0 + -4 Combine like terms: 0 + -4 = -4 3k + kx + 2x = -4 Add '-2x' to each side of the equation. 3k + kx + 2x + -2x = -4 + -2x Combine like terms: 2x + -2x = 0 3k + kx + 0 = -4 + -2x 3k + kx = -4 + -2x 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.

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