10-8x=-2zx+4x

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Solution for 10-8x=-2zx+4x equation:


Simplifying
10 + -8x = -2zx + 4x

Reorder the terms:
10 + -8x = 4x + -2xz

Solving
10 + -8x = 4x + -2xz

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
10 + -8x + -4x = 4x + -4x + -2xz

Combine like terms: -8x + -4x = -12x
10 + -12x = 4x + -4x + -2xz

Combine like terms: 4x + -4x = 0
10 + -12x = 0 + -2xz
10 + -12x = -2xz

Add '2xz' to each side of the equation.
10 + -12x + 2xz = -2xz + 2xz

Combine like terms: -2xz + 2xz = 0
10 + -12x + 2xz = 0

Add '-10' to each side of the equation.
10 + -12x + -10 + 2xz = 0 + -10

Reorder the terms:
10 + -10 + -12x + 2xz = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -12x + 2xz = 0 + -10
-12x + 2xz = 0 + -10

Combine like terms: 0 + -10 = -10
-12x + 2xz = -10

Reorder the terms:
10 + -12x + 2xz = -10 + 10

Combine like terms: -10 + 10 = 0
10 + -12x + 2xz = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + -6x + xz) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(5 + -6x + xz)' equal to zero and attempt to solve: Simplifying 5 + -6x + xz = 0 Solving 5 + -6x + xz = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -6x + -5 + xz = 0 + -5 Reorder the terms: 5 + -5 + -6x + xz = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6x + xz = 0 + -5 -6x + xz = 0 + -5 Combine like terms: 0 + -5 = -5 -6x + xz = -5 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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