(X+2)(x-2)=5(x+4)

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Solution for (X+2)(x-2)=5(x+4) equation:


Simplifying
(X + 2)(x + -2) = 5(x + 4)

Reorder the terms:
(2 + X)(x + -2) = 5(x + 4)

Reorder the terms:
(2 + X)(-2 + x) = 5(x + 4)

Multiply (2 + X) * (-2 + x)
(2(-2 + x) + X(-2 + x)) = 5(x + 4)
((-2 * 2 + x * 2) + X(-2 + x)) = 5(x + 4)
((-4 + 2x) + X(-2 + x)) = 5(x + 4)
(-4 + 2x + (-2 * X + x * X)) = 5(x + 4)
(-4 + 2x + (-2X + xX)) = 5(x + 4)

Reorder the terms:
(-4 + -2X + 2x + xX) = 5(x + 4)
(-4 + -2X + 2x + xX) = 5(x + 4)

Reorder the terms:
-4 + -2X + 2x + xX = 5(4 + x)
-4 + -2X + 2x + xX = (4 * 5 + x * 5)
-4 + -2X + 2x + xX = (20 + 5x)

Solving
-4 + -2X + 2x + xX = 20 + 5x

Solving for variable 'X'.

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

Add '4' to each side of the equation.
-4 + -2X + 2x + 4 + xX = 20 + 4 + 5x

Reorder the terms:
-4 + 4 + -2X + 2x + xX = 20 + 4 + 5x

Combine like terms: -4 + 4 = 0
0 + -2X + 2x + xX = 20 + 4 + 5x
-2X + 2x + xX = 20 + 4 + 5x

Combine like terms: 20 + 4 = 24
-2X + 2x + xX = 24 + 5x

Add '-2x' to each side of the equation.
-2X + 2x + -2x + xX = 24 + 5x + -2x

Combine like terms: 2x + -2x = 0
-2X + 0 + xX = 24 + 5x + -2x
-2X + xX = 24 + 5x + -2x

Combine like terms: 5x + -2x = 3x
-2X + xX = 24 + 3x

Reorder the terms:
-24 + -2X + -3x + xX = 24 + 3x + -24 + -3x

Reorder the terms:
-24 + -2X + -3x + xX = 24 + -24 + 3x + -3x

Combine like terms: 24 + -24 = 0
-24 + -2X + -3x + xX = 0 + 3x + -3x
-24 + -2X + -3x + xX = 3x + -3x

Combine like terms: 3x + -3x = 0
-24 + -2X + -3x + xX = 0

The solution to this equation could not be determined.

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