2(x-1)-3(2-x)=4(xz-1)

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Solution for 2(x-1)-3(2-x)=4(xz-1) equation:


Simplifying
2(x + -1) + -3(2 + -1x) = 4(xz + -1)

Reorder the terms:
2(-1 + x) + -3(2 + -1x) = 4(xz + -1)
(-1 * 2 + x * 2) + -3(2 + -1x) = 4(xz + -1)
(-2 + 2x) + -3(2 + -1x) = 4(xz + -1)
-2 + 2x + (2 * -3 + -1x * -3) = 4(xz + -1)
-2 + 2x + (-6 + 3x) = 4(xz + -1)

Reorder the terms:
-2 + -6 + 2x + 3x = 4(xz + -1)

Combine like terms: -2 + -6 = -8
-8 + 2x + 3x = 4(xz + -1)

Combine like terms: 2x + 3x = 5x
-8 + 5x = 4(xz + -1)

Reorder the terms:
-8 + 5x = 4(-1 + xz)
-8 + 5x = (-1 * 4 + xz * 4)
-8 + 5x = (-4 + 4xz)

Solving
-8 + 5x = -4 + 4xz

Solving for variable 'x'.

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

Add '-4xz' to each side of the equation.
-8 + 5x + -4xz = -4 + 4xz + -4xz

Combine like terms: 4xz + -4xz = 0
-8 + 5x + -4xz = -4 + 0
-8 + 5x + -4xz = -4

Add '8' to each side of the equation.
-8 + 5x + 8 + -4xz = -4 + 8

Reorder the terms:
-8 + 8 + 5x + -4xz = -4 + 8

Combine like terms: -8 + 8 = 0
0 + 5x + -4xz = -4 + 8
5x + -4xz = -4 + 8

Combine like terms: -4 + 8 = 4
5x + -4xz = 4

Reorder the terms:
-4 + 5x + -4xz = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + 5x + -4xz = 0

The solution to this equation could not be determined.

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