(X+3)*(x-7)=(x-3)2

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Solution for (X+3)*(x-7)=(x-3)2 equation: 


Simplifying
(X + 3)(x + -7) = (x + -3) * 2

Reorder the terms:
(3 + X)(x + -7) = (x + -3) * 2

Reorder the terms:
(3 + X)(-7 + x) = (x + -3) * 2

Multiply (3 + X) * (-7 + x)
(3(-7 + x) + X(-7 + x)) = (x + -3) * 2
((-7 * 3 + x * 3) + X(-7 + x)) = (x + -3) * 2
((-21 + 3x) + X(-7 + x)) = (x + -3) * 2
(-21 + 3x + (-7 * X + x * X)) = (x + -3) * 2
(-21 + 3x + (-7X + xX)) = (x + -3) * 2

Reorder the terms:
(-21 + -7X + 3x + xX) = (x + -3) * 2
(-21 + -7X + 3x + xX) = (x + -3) * 2

Reorder the terms:
-21 + -7X + 3x + xX = (-3 + x) * 2

Reorder the terms for easier multiplication:
-21 + -7X + 3x + xX = 2(-3 + x)
-21 + -7X + 3x + xX = (-3 * 2 + x * 2)
-21 + -7X + 3x + xX = (-6 + 2x)

Solving
-21 + -7X + 3x + xX = -6 + 2x

Solving for variable 'X'.

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

Add '21' to each side of the equation.
-21 + -7X + 3x + 21 + xX = -6 + 21 + 2x

Reorder the terms:
-21 + 21 + -7X + 3x + xX = -6 + 21 + 2x

Combine like terms: -21 + 21 = 0
0 + -7X + 3x + xX = -6 + 21 + 2x
-7X + 3x + xX = -6 + 21 + 2x

Combine like terms: -6 + 21 = 15
-7X + 3x + xX = 15 + 2x

Add '-3x' to each side of the equation.
-7X + 3x + -3x + xX = 15 + 2x + -3x

Combine like terms: 3x + -3x = 0
-7X + 0 + xX = 15 + 2x + -3x
-7X + xX = 15 + 2x + -3x

Combine like terms: 2x + -3x = -1x
-7X + xX = 15 + -1x

Reorder the terms:
-15 + -7X + x + xX = 15 + -1x + -15 + x

Reorder the terms:
-15 + -7X + x + xX = 15 + -15 + -1x + x

Combine like terms: 15 + -15 = 0
-15 + -7X + x + xX = 0 + -1x + x
-15 + -7X + x + xX = -1x + x

Combine like terms: -1x + x = 0
-15 + -7X + x + xX = 0

The solution to this equation could not be determined.

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