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

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


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

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

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

Multiply (-5 + X) * (2 + x)
(-5(2 + x) + X(2 + x)) = 2(x + 2)
((2 * -5 + x * -5) + X(2 + x)) = 2(x + 2)
((-10 + -5x) + X(2 + x)) = 2(x + 2)
(-10 + -5x + (2 * X + x * X)) = 2(x + 2)
(-10 + -5x + (2X + xX)) = 2(x + 2)

Reorder the terms:
(-10 + 2X + -5x + xX) = 2(x + 2)
(-10 + 2X + -5x + xX) = 2(x + 2)

Reorder the terms:
-10 + 2X + -5x + xX = 2(2 + x)
-10 + 2X + -5x + xX = (2 * 2 + x * 2)
-10 + 2X + -5x + xX = (4 + 2x)

Solving
-10 + 2X + -5x + xX = 4 + 2x

Solving for variable 'X'.

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

Add '10' to each side of the equation.
-10 + 2X + -5x + 10 + xX = 4 + 10 + 2x

Reorder the terms:
-10 + 10 + 2X + -5x + xX = 4 + 10 + 2x

Combine like terms: -10 + 10 = 0
0 + 2X + -5x + xX = 4 + 10 + 2x
2X + -5x + xX = 4 + 10 + 2x

Combine like terms: 4 + 10 = 14
2X + -5x + xX = 14 + 2x

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

Combine like terms: -5x + 5x = 0
2X + 0 + xX = 14 + 2x + 5x
2X + xX = 14 + 2x + 5x

Combine like terms: 2x + 5x = 7x
2X + xX = 14 + 7x

Reorder the terms:
-14 + 2X + -7x + xX = 14 + 7x + -14 + -7x

Reorder the terms:
-14 + 2X + -7x + xX = 14 + -14 + 7x + -7x

Combine like terms: 14 + -14 = 0
-14 + 2X + -7x + xX = 0 + 7x + -7x
-14 + 2X + -7x + xX = 7x + -7x

Combine like terms: 7x + -7x = 0
-14 + 2X + -7x + xX = 0

The solution to this equation could not be determined.

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