2x-4=z(2x-y)

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Solution for 2x-4=z(2x-y) equation:


Simplifying
2x + -4 = z(2x + -1y)

Reorder the terms:
-4 + 2x = z(2x + -1y)
-4 + 2x = (2x * z + -1y * z)
-4 + 2x = (2xz + -1yz)

Solving
-4 + 2x = 2xz + -1yz

Solving for variable 'x'.

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

Add '-2xz' to each side of the equation.
-4 + 2x + -2xz = 2xz + -2xz + -1yz

Combine like terms: 2xz + -2xz = 0
-4 + 2x + -2xz = 0 + -1yz
-4 + 2x + -2xz = -1yz

Add '4' to each side of the equation.
-4 + 2x + 4 + -2xz = 4 + -1yz

Reorder the terms:
-4 + 4 + 2x + -2xz = 4 + -1yz

Combine like terms: -4 + 4 = 0
0 + 2x + -2xz = 4 + -1yz
2x + -2xz = 4 + -1yz

Reorder the terms:
-4 + 2x + -2xz + yz = 4 + -1yz + -4 + yz

Reorder the terms:
-4 + 2x + -2xz + yz = 4 + -4 + -1yz + yz

Combine like terms: 4 + -4 = 0
-4 + 2x + -2xz + yz = 0 + -1yz + yz
-4 + 2x + -2xz + yz = -1yz + yz

Combine like terms: -1yz + yz = 0
-4 + 2x + -2xz + yz = 0

The solution to this equation could not be determined.

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