(4-1)(2x+3)=(x+3)(X-1)

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Solution for (4-1)(2x+3)=(x+3)(X-1) equation: 


Simplifying
(4 + -1)(2x + 3) = (x + 3)(X + -1)

Combine like terms: 4 + -1 = 3
(3)(2x + 3) = (x + 3)(X + -1)

Reorder the terms:
3(3 + 2x) = (x + 3)(X + -1)
(3 * 3 + 2x * 3) = (x + 3)(X + -1)
(9 + 6x) = (x + 3)(X + -1)

Reorder the terms:
9 + 6x = (3 + x)(X + -1)

Reorder the terms:
9 + 6x = (3 + x)(-1 + X)

Multiply (3 + x) * (-1 + X)
9 + 6x = (3(-1 + X) + x(-1 + X))
9 + 6x = ((-1 * 3 + X * 3) + x(-1 + X))
9 + 6x = ((-3 + 3X) + x(-1 + X))
9 + 6x = (-3 + 3X + (-1 * x + X * x))
9 + 6x = (-3 + 3X + (-1x + xX))
9 + 6x = (-3 + 3X + -1x + xX)

Solving
9 + 6x = -3 + 3X + -1x + xX

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
9 + 6x + x = -3 + 3X + -1x + x + xX

Combine like terms: 6x + x = 7x
9 + 7x = -3 + 3X + -1x + x + xX

Combine like terms: -1x + x = 0
9 + 7x = -3 + 3X + 0 + xX
9 + 7x = -3 + 3X + xX

Add '-1xX' to each side of the equation.
9 + 7x + -1xX = -3 + 3X + xX + -1xX

Combine like terms: xX + -1xX = 0
9 + 7x + -1xX = -3 + 3X + 0
9 + 7x + -1xX = -3 + 3X

Add '-9' to each side of the equation.
9 + 7x + -9 + -1xX = -3 + -9 + 3X

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

Combine like terms: 9 + -9 = 0
0 + 7x + -1xX = -3 + -9 + 3X
7x + -1xX = -3 + -9 + 3X

Combine like terms: -3 + -9 = -12
7x + -1xX = -12 + 3X

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

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

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

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

The solution to this equation could not be determined.

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