(X-3)(x+2)=-2(x-3)

Solution for (X-3)(x+2)=-2(x-3) equation:

Simplifying
(X + -3)(x + 2) = -2(x + -3)

Reorder the terms:
(-3 + X)(x + 2) = -2(x + -3)

Reorder the terms:
(-3 + X)(2 + x) = -2(x + -3)

Multiply (-3 + X) * (2 + x)
(-3(2 + x) + X(2 + x)) = -2(x + -3)
((2 * -3 + x * -3) + X(2 + x)) = -2(x + -3)
((-6 + -3x) + X(2 + x)) = -2(x + -3)
(-6 + -3x + (2 * X + x * X)) = -2(x + -3)
(-6 + -3x + (2X + xX)) = -2(x + -3)

Reorder the terms:
(-6 + 2X + -3x + xX) = -2(x + -3)
(-6 + 2X + -3x + xX) = -2(x + -3)

Reorder the terms:
-6 + 2X + -3x + xX = -2(-3 + x)
-6 + 2X + -3x + xX = (-3 * -2 + x * -2)
-6 + 2X + -3x + xX = (6 + -2x)

Solving
-6 + 2X + -3x + xX = 6 + -2x

Solving for variable 'X'.

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

Add '6' to each side of the equation.
-6 + 2X + -3x + 6 + xX = 6 + 6 + -2x

Reorder the terms:
-6 + 6 + 2X + -3x + xX = 6 + 6 + -2x

Combine like terms: -6 + 6 = 0
0 + 2X + -3x + xX = 6 + 6 + -2x
2X + -3x + xX = 6 + 6 + -2x

Combine like terms: 6 + 6 = 12
2X + -3x + xX = 12 + -2x

Add '3x' to each side of the equation.
2X + -3x + 3x + xX = 12 + -2x + 3x

Combine like terms: -3x + 3x = 0
2X + 0 + xX = 12 + -2x + 3x
2X + xX = 12 + -2x + 3x

Combine like terms: -2x + 3x = 1x
2X + xX = 12 + 1x

Reorder the terms:
-12 + 2X + -1x + xX = 12 + 1x + -12 + -1x

Reorder the terms:
-12 + 2X + -1x + xX = 12 + -12 + 1x + -1x

Combine like terms: 12 + -12 = 0
-12 + 2X + -1x + xX = 0 + 1x + -1x
-12 + 2X + -1x + xX = 1x + -1x

Combine like terms: 1x + -1x = 0
-12 + 2X + -1x + xX = 0

The solution to this equation could not be determined.