2x=24z+8xz+6

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Solution for 2x=24z+8xz+6 equation:


Simplifying
2x = 24z + 8xz + 6

Reorder the terms:
2x = 6 + 8xz + 24z

Solving
2x = 6 + 8xz + 24z

Solving for variable 'x'.

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

Add '-8xz' to each side of the equation.
2x + -8xz = 6 + 8xz + -8xz + 24z

Combine like terms: 8xz + -8xz = 0
2x + -8xz = 6 + 0 + 24z
2x + -8xz = 6 + 24z

Reorder the terms:
-6 + 2x + -8xz + -24z = 6 + 24z + -6 + -24z

Reorder the terms:
-6 + 2x + -8xz + -24z = 6 + -6 + 24z + -24z

Combine like terms: 6 + -6 = 0
-6 + 2x + -8xz + -24z = 0 + 24z + -24z
-6 + 2x + -8xz + -24z = 24z + -24z

Combine like terms: 24z + -24z = 0
-6 + 2x + -8xz + -24z = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + x + -4xz + -12z) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-3 + x + -4xz + -12z)' equal to zero and attempt to solve: Simplifying -3 + x + -4xz + -12z = 0 Solving -3 + x + -4xz + -12z = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + x + -4xz + 3 + -12z = 0 + 3 Reorder the terms: -3 + 3 + x + -4xz + -12z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x + -4xz + -12z = 0 + 3 x + -4xz + -12z = 0 + 3 Combine like terms: 0 + 3 = 3 x + -4xz + -12z = 3 Add '12z' to each side of the equation. x + -4xz + -12z + 12z = 3 + 12z Combine like terms: -12z + 12z = 0 x + -4xz + 0 = 3 + 12z x + -4xz = 3 + 12z 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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