(X+3)(2x+5)=(x+7)(2x-1)

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Solution for (X+3)(2x+5)=(x+7)(2x-1) equation: 


Simplifying
(X + 3)(2x + 5) = (x + 7)(2x + -1)

Reorder the terms:
(3 + X)(2x + 5) = (x + 7)(2x + -1)

Reorder the terms:
(3 + X)(5 + 2x) = (x + 7)(2x + -1)

Multiply (3 + X) * (5 + 2x)
(3(5 + 2x) + X(5 + 2x)) = (x + 7)(2x + -1)
((5 * 3 + 2x * 3) + X(5 + 2x)) = (x + 7)(2x + -1)
((15 + 6x) + X(5 + 2x)) = (x + 7)(2x + -1)
(15 + 6x + (5 * X + 2x * X)) = (x + 7)(2x + -1)
(15 + 6x + (5X + 2xX)) = (x + 7)(2x + -1)

Reorder the terms:
(15 + 5X + 6x + 2xX) = (x + 7)(2x + -1)
(15 + 5X + 6x + 2xX) = (x + 7)(2x + -1)

Reorder the terms:
15 + 5X + 6x + 2xX = (7 + x)(2x + -1)

Reorder the terms:
15 + 5X + 6x + 2xX = (7 + x)(-1 + 2x)

Multiply (7 + x) * (-1 + 2x)
15 + 5X + 6x + 2xX = (7(-1 + 2x) + x(-1 + 2x))
15 + 5X + 6x + 2xX = ((-1 * 7 + 2x * 7) + x(-1 + 2x))
15 + 5X + 6x + 2xX = ((-7 + 14x) + x(-1 + 2x))
15 + 5X + 6x + 2xX = (-7 + 14x + (-1 * x + 2x * x))
15 + 5X + 6x + 2xX = (-7 + 14x + (-1x + 2x2))

Combine like terms: 14x + -1x = 13x
15 + 5X + 6x + 2xX = (-7 + 13x + 2x2)

Solving
15 + 5X + 6x + 2xX = -7 + 13x + 2x2

Solving for variable 'X'.

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

Add '-15' to each side of the equation.
15 + 5X + 6x + -15 + 2xX = -7 + 13x + -15 + 2x2

Reorder the terms:
15 + -15 + 5X + 6x + 2xX = -7 + 13x + -15 + 2x2

Combine like terms: 15 + -15 = 0
0 + 5X + 6x + 2xX = -7 + 13x + -15 + 2x2
5X + 6x + 2xX = -7 + 13x + -15 + 2x2

Reorder the terms:
5X + 6x + 2xX = -7 + -15 + 13x + 2x2

Combine like terms: -7 + -15 = -22
5X + 6x + 2xX = -22 + 13x + 2x2

Add '-6x' to each side of the equation.
5X + 6x + -6x + 2xX = -22 + 13x + -6x + 2x2

Combine like terms: 6x + -6x = 0
5X + 0 + 2xX = -22 + 13x + -6x + 2x2
5X + 2xX = -22 + 13x + -6x + 2x2

Combine like terms: 13x + -6x = 7x
5X + 2xX = -22 + 7x + 2x2

Reorder the terms:
22 + 5X + -7x + 2xX + -2x2 = -22 + 7x + 2x2 + 22 + -7x + -2x2

Reorder the terms:
22 + 5X + -7x + 2xX + -2x2 = -22 + 22 + 7x + -7x + 2x2 + -2x2

Combine like terms: -22 + 22 = 0
22 + 5X + -7x + 2xX + -2x2 = 0 + 7x + -7x + 2x2 + -2x2
22 + 5X + -7x + 2xX + -2x2 = 7x + -7x + 2x2 + -2x2

Combine like terms: 7x + -7x = 0
22 + 5X + -7x + 2xX + -2x2 = 0 + 2x2 + -2x2
22 + 5X + -7x + 2xX + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
22 + 5X + -7x + 2xX + -2x2 = 0

The solution to this equation could not be determined.

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