(2-X)(x+2)-(3-X)(X+3)=7+3X

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Solution for (2-X)(x+2)-(3-X)(X+3)=7+3X equation: 


Simplifying
(2 + -1X)(x + 2) + -1(3 + -1X)(X + 3) = 7 + 3X

Reorder the terms:
(2 + -1X)(2 + x) + -1(3 + -1X)(X + 3) = 7 + 3X

Multiply (2 + -1X) * (2 + x)
(2(2 + x) + -1X * (2 + x)) + -1(3 + -1X)(X + 3) = 7 + 3X
((2 * 2 + x * 2) + -1X * (2 + x)) + -1(3 + -1X)(X + 3) = 7 + 3X
((4 + 2x) + -1X * (2 + x)) + -1(3 + -1X)(X + 3) = 7 + 3X
(4 + 2x + (2 * -1X + x * -1X)) + -1(3 + -1X)(X + 3) = 7 + 3X
(4 + 2x + (-2X + -1xX)) + -1(3 + -1X)(X + 3) = 7 + 3X

Reorder the terms:
(4 + -2X + 2x + -1xX) + -1(3 + -1X)(X + 3) = 7 + 3X
(4 + -2X + 2x + -1xX) + -1(3 + -1X)(X + 3) = 7 + 3X

Reorder the terms:
4 + -2X + 2x + -1xX + -1(3 + -1X)(3 + X) = 7 + 3X

Multiply (3 + -1X) * (3 + X)
4 + -2X + 2x + -1xX + -1(3(3 + X) + -1X * (3 + X)) = 7 + 3X
4 + -2X + 2x + -1xX + -1((3 * 3 + X * 3) + -1X * (3 + X)) = 7 + 3X
4 + -2X + 2x + -1xX + -1((9 + 3X) + -1X * (3 + X)) = 7 + 3X
4 + -2X + 2x + -1xX + -1(9 + 3X + (3 * -1X + X * -1X)) = 7 + 3X
4 + -2X + 2x + -1xX + -1(9 + 3X + (-3X + -1X2)) = 7 + 3X

Combine like terms: 3X + -3X = 0
4 + -2X + 2x + -1xX + -1(9 + 0 + -1X2) = 7 + 3X
4 + -2X + 2x + -1xX + -1(9 + -1X2) = 7 + 3X
4 + -2X + 2x + -1xX + (9 * -1 + -1X2 * -1) = 7 + 3X
4 + -2X + 2x + -1xX + (-9 + 1X2) = 7 + 3X

Reorder the terms:
4 + -9 + -2X + 1X2 + 2x + -1xX = 7 + 3X

Combine like terms: 4 + -9 = -5
-5 + -2X + 1X2 + 2x + -1xX = 7 + 3X

Solving
-5 + -2X + 1X2 + 2x + -1xX = 7 + 3X

Solving for variable 'X'.

Reorder the terms:
-5 + -7 + -2X + -3X + 1X2 + 2x + -1xX = 7 + 3X + -7 + -3X

Combine like terms: -5 + -7 = -12
-12 + -2X + -3X + 1X2 + 2x + -1xX = 7 + 3X + -7 + -3X

Combine like terms: -2X + -3X = -5X
-12 + -5X + 1X2 + 2x + -1xX = 7 + 3X + -7 + -3X

Reorder the terms:
-12 + -5X + 1X2 + 2x + -1xX = 7 + -7 + 3X + -3X

Combine like terms: 7 + -7 = 0
-12 + -5X + 1X2 + 2x + -1xX = 0 + 3X + -3X
-12 + -5X + 1X2 + 2x + -1xX = 3X + -3X

Combine like terms: 3X + -3X = 0
-12 + -5X + 1X2 + 2x + -1xX = 0

The solution to this equation could not be determined.

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