(x-1)(x-2(x-3))=x(1-X)

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

Simplifying
(x + -1)(x + -2(x + -3)) = x(1 + -1X)

Reorder the terms:
(-1 + x)(x + -2(x + -3)) = x(1 + -1X)

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

Reorder the terms:
(-1 + x)(6 + x + -2x) = x(1 + -1X)

Combine like terms: x + -2x = -1x
(-1 + x)(6 + -1x) = x(1 + -1X)

Multiply (-1 + x) * (6 + -1x)
(-1(6 + -1x) + x(6 + -1x)) = x(1 + -1X)
((6 * -1 + -1x * -1) + x(6 + -1x)) = x(1 + -1X)
((-6 + 1x) + x(6 + -1x)) = x(1 + -1X)
(-6 + 1x + (6 * x + -1x * x)) = x(1 + -1X)
(-6 + 1x + (6x + -1x2)) = x(1 + -1X)

Combine like terms: 1x + 6x = 7x
(-6 + 7x + -1x2) = x(1 + -1X)
-6 + 7x + -1x2 = (1 * x + -1X * x)
-6 + 7x + -1x2 = (1x + -1xX)

Solving
-6 + 7x + -1x2 = 1x + -1xX

Solving for variable 'x'.

Reorder the terms:
-6 + 7x + -1x + xX + -1x2 = 1x + -1xX + -1x + xX

Combine like terms: 7x + -1x = 6x
-6 + 6x + xX + -1x2 = 1x + -1xX + -1x + xX

Reorder the terms:
-6 + 6x + xX + -1x2 = 1x + -1x + -1xX + xX

Combine like terms: 1x + -1x = 0
-6 + 6x + xX + -1x2 = 0 + -1xX + xX
-6 + 6x + xX + -1x2 = -1xX + xX

Combine like terms: -1xX + xX = 0
-6 + 6x + xX + -1x2 = 0

The solution to this equation could not be determined.