(X-2)(x+1)=2x-6

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Solution for (X-2)(x+1)=2x-6 equation: 


Simplifying
(X + -2)(x + 1) = 2x + -6

Reorder the terms:
(-2 + X)(x + 1) = 2x + -6

Reorder the terms:
(-2 + X)(1 + x) = 2x + -6

Multiply (-2 + X) * (1 + x)
(-2(1 + x) + X(1 + x)) = 2x + -6
((1 * -2 + x * -2) + X(1 + x)) = 2x + -6
((-2 + -2x) + X(1 + x)) = 2x + -6
(-2 + -2x + (1 * X + x * X)) = 2x + -6
(-2 + -2x + (1X + xX)) = 2x + -6

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

Reorder the terms:
-2 + 1X + -2x + xX = -6 + 2x

Solving
-2 + 1X + -2x + xX = -6 + 2x

Solving for variable 'X'.

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

Add '2' to each side of the equation.
-2 + 1X + -2x + 2 + xX = -6 + 2 + 2x

Reorder the terms:
-2 + 2 + 1X + -2x + xX = -6 + 2 + 2x

Combine like terms: -2 + 2 = 0
0 + 1X + -2x + xX = -6 + 2 + 2x
1X + -2x + xX = -6 + 2 + 2x

Combine like terms: -6 + 2 = -4
1X + -2x + xX = -4 + 2x

Add '2x' to each side of the equation.
1X + -2x + 2x + xX = -4 + 2x + 2x

Combine like terms: -2x + 2x = 0
1X + 0 + xX = -4 + 2x + 2x
1X + xX = -4 + 2x + 2x

Combine like terms: 2x + 2x = 4x
1X + xX = -4 + 4x

Reorder the terms:
4 + 1X + -4x + xX = -4 + 4x + 4 + -4x

Reorder the terms:
4 + 1X + -4x + xX = -4 + 4 + 4x + -4x

Combine like terms: -4 + 4 = 0
4 + 1X + -4x + xX = 0 + 4x + -4x
4 + 1X + -4x + xX = 4x + -4x

Combine like terms: 4x + -4x = 0
4 + 1X + -4x + xX = 0

The solution to this equation could not be determined.

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