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

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


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

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

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

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

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

Reorder the terms:
-14 + 7X + -2x + xX = 2(-2 + x)
-14 + 7X + -2x + xX = (-2 * 2 + x * 2)
-14 + 7X + -2x + xX = (-4 + 2x)

Solving
-14 + 7X + -2x + xX = -4 + 2x

Solving for variable 'X'.

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

Add '14' to each side of the equation.
-14 + 7X + -2x + 14 + xX = -4 + 14 + 2x

Reorder the terms:
-14 + 14 + 7X + -2x + xX = -4 + 14 + 2x

Combine like terms: -14 + 14 = 0
0 + 7X + -2x + xX = -4 + 14 + 2x
7X + -2x + xX = -4 + 14 + 2x

Combine like terms: -4 + 14 = 10
7X + -2x + xX = 10 + 2x

Add '2x' to each side of the equation.
7X + -2x + 2x + xX = 10 + 2x + 2x

Combine like terms: -2x + 2x = 0
7X + 0 + xX = 10 + 2x + 2x
7X + xX = 10 + 2x + 2x

Combine like terms: 2x + 2x = 4x
7X + xX = 10 + 4x

Reorder the terms:
-10 + 7X + -4x + xX = 10 + 4x + -10 + -4x

Reorder the terms:
-10 + 7X + -4x + xX = 10 + -10 + 4x + -4x

Combine like terms: 10 + -10 = 0
-10 + 7X + -4x + xX = 0 + 4x + -4x
-10 + 7X + -4x + xX = 4x + -4x

Combine like terms: 4x + -4x = 0
-10 + 7X + -4x + xX = 0

The solution to this equation could not be determined.

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