(X+5)(x-7)=(2x+6)(x-7)

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Solution for (X+5)(x-7)=(2x+6)(x-7) equation: 


Simplifying
(X + 5)(x + -7) = (2x + 6)(x + -7)

Reorder the terms:
(5 + X)(x + -7) = (2x + 6)(x + -7)

Reorder the terms:
(5 + X)(-7 + x) = (2x + 6)(x + -7)

Multiply (5 + X) * (-7 + x)
(5(-7 + x) + X(-7 + x)) = (2x + 6)(x + -7)
((-7 * 5 + x * 5) + X(-7 + x)) = (2x + 6)(x + -7)
((-35 + 5x) + X(-7 + x)) = (2x + 6)(x + -7)
(-35 + 5x + (-7 * X + x * X)) = (2x + 6)(x + -7)
(-35 + 5x + (-7X + xX)) = (2x + 6)(x + -7)

Reorder the terms:
(-35 + -7X + 5x + xX) = (2x + 6)(x + -7)
(-35 + -7X + 5x + xX) = (2x + 6)(x + -7)

Reorder the terms:
-35 + -7X + 5x + xX = (6 + 2x)(x + -7)

Reorder the terms:
-35 + -7X + 5x + xX = (6 + 2x)(-7 + x)

Multiply (6 + 2x) * (-7 + x)
-35 + -7X + 5x + xX = (6(-7 + x) + 2x * (-7 + x))
-35 + -7X + 5x + xX = ((-7 * 6 + x * 6) + 2x * (-7 + x))
-35 + -7X + 5x + xX = ((-42 + 6x) + 2x * (-7 + x))
-35 + -7X + 5x + xX = (-42 + 6x + (-7 * 2x + x * 2x))
-35 + -7X + 5x + xX = (-42 + 6x + (-14x + 2x2))

Combine like terms: 6x + -14x = -8x
-35 + -7X + 5x + xX = (-42 + -8x + 2x2)

Solving
-35 + -7X + 5x + xX = -42 + -8x + 2x2

Solving for variable 'X'.

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

Add '35' to each side of the equation.
-35 + -7X + 5x + 35 + xX = -42 + -8x + 35 + 2x2

Reorder the terms:
-35 + 35 + -7X + 5x + xX = -42 + -8x + 35 + 2x2

Combine like terms: -35 + 35 = 0
0 + -7X + 5x + xX = -42 + -8x + 35 + 2x2
-7X + 5x + xX = -42 + -8x + 35 + 2x2

Reorder the terms:
-7X + 5x + xX = -42 + 35 + -8x + 2x2

Combine like terms: -42 + 35 = -7
-7X + 5x + xX = -7 + -8x + 2x2

Add '-5x' to each side of the equation.
-7X + 5x + -5x + xX = -7 + -8x + -5x + 2x2

Combine like terms: 5x + -5x = 0
-7X + 0 + xX = -7 + -8x + -5x + 2x2
-7X + xX = -7 + -8x + -5x + 2x2

Combine like terms: -8x + -5x = -13x
-7X + xX = -7 + -13x + 2x2

Reorder the terms:
7 + -7X + 13x + xX + -2x2 = -7 + -13x + 2x2 + 7 + 13x + -2x2

Reorder the terms:
7 + -7X + 13x + xX + -2x2 = -7 + 7 + -13x + 13x + 2x2 + -2x2

Combine like terms: -7 + 7 = 0
7 + -7X + 13x + xX + -2x2 = 0 + -13x + 13x + 2x2 + -2x2
7 + -7X + 13x + xX + -2x2 = -13x + 13x + 2x2 + -2x2

Combine like terms: -13x + 13x = 0
7 + -7X + 13x + xX + -2x2 = 0 + 2x2 + -2x2
7 + -7X + 13x + xX + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
7 + -7X + 13x + xX + -2x2 = 0

The solution to this equation could not be determined.

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