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

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


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

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

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

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

Reorder the terms:
(-7 + -1X + 14x + 2xX) = (2x + 1)(x + -5)
(-7 + -1X + 14x + 2xX) = (2x + 1)(x + -5)

Reorder the terms:
-7 + -1X + 14x + 2xX = (1 + 2x)(x + -5)

Reorder the terms:
-7 + -1X + 14x + 2xX = (1 + 2x)(-5 + x)

Multiply (1 + 2x) * (-5 + x)
-7 + -1X + 14x + 2xX = (1(-5 + x) + 2x * (-5 + x))
-7 + -1X + 14x + 2xX = ((-5 * 1 + x * 1) + 2x * (-5 + x))
-7 + -1X + 14x + 2xX = ((-5 + 1x) + 2x * (-5 + x))
-7 + -1X + 14x + 2xX = (-5 + 1x + (-5 * 2x + x * 2x))
-7 + -1X + 14x + 2xX = (-5 + 1x + (-10x + 2x2))

Combine like terms: 1x + -10x = -9x
-7 + -1X + 14x + 2xX = (-5 + -9x + 2x2)

Solving
-7 + -1X + 14x + 2xX = -5 + -9x + 2x2

Solving for variable 'X'.

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

Add '7' to each side of the equation.
-7 + -1X + 14x + 7 + 2xX = -5 + -9x + 7 + 2x2

Reorder the terms:
-7 + 7 + -1X + 14x + 2xX = -5 + -9x + 7 + 2x2

Combine like terms: -7 + 7 = 0
0 + -1X + 14x + 2xX = -5 + -9x + 7 + 2x2
-1X + 14x + 2xX = -5 + -9x + 7 + 2x2

Reorder the terms:
-1X + 14x + 2xX = -5 + 7 + -9x + 2x2

Combine like terms: -5 + 7 = 2
-1X + 14x + 2xX = 2 + -9x + 2x2

Add '-14x' to each side of the equation.
-1X + 14x + -14x + 2xX = 2 + -9x + -14x + 2x2

Combine like terms: 14x + -14x = 0
-1X + 0 + 2xX = 2 + -9x + -14x + 2x2
-1X + 2xX = 2 + -9x + -14x + 2x2

Combine like terms: -9x + -14x = -23x
-1X + 2xX = 2 + -23x + 2x2

Reorder the terms:
-2 + -1X + 23x + 2xX + -2x2 = 2 + -23x + 2x2 + -2 + 23x + -2x2

Reorder the terms:
-2 + -1X + 23x + 2xX + -2x2 = 2 + -2 + -23x + 23x + 2x2 + -2x2

Combine like terms: 2 + -2 = 0
-2 + -1X + 23x + 2xX + -2x2 = 0 + -23x + 23x + 2x2 + -2x2
-2 + -1X + 23x + 2xX + -2x2 = -23x + 23x + 2x2 + -2x2

Combine like terms: -23x + 23x = 0
-2 + -1X + 23x + 2xX + -2x2 = 0 + 2x2 + -2x2
-2 + -1X + 23x + 2xX + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-2 + -1X + 23x + 2xX + -2x2 = 0

The solution to this equation could not be determined.

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