(x+4)(x-7)+5x-3=(X+7)(x-3)-4X+15

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Solution for (x+4)(x-7)+5x-3=(X+7)(x-3)-4X+15 equation: 


Simplifying
(x + 4)(x + -7) + 5x + -3 = (X + 7)(x + -3) + -4X + 15

Reorder the terms:
(4 + x)(x + -7) + 5x + -3 = (X + 7)(x + -3) + -4X + 15

Reorder the terms:
(4 + x)(-7 + x) + 5x + -3 = (X + 7)(x + -3) + -4X + 15

Multiply (4 + x) * (-7 + x)
(4(-7 + x) + x(-7 + x)) + 5x + -3 = (X + 7)(x + -3) + -4X + 15
((-7 * 4 + x * 4) + x(-7 + x)) + 5x + -3 = (X + 7)(x + -3) + -4X + 15
((-28 + 4x) + x(-7 + x)) + 5x + -3 = (X + 7)(x + -3) + -4X + 15
(-28 + 4x + (-7 * x + x * x)) + 5x + -3 = (X + 7)(x + -3) + -4X + 15
(-28 + 4x + (-7x + x2)) + 5x + -3 = (X + 7)(x + -3) + -4X + 15

Combine like terms: 4x + -7x = -3x
(-28 + -3x + x2) + 5x + -3 = (X + 7)(x + -3) + -4X + 15

Reorder the terms:
-28 + -3 + -3x + 5x + x2 = (X + 7)(x + -3) + -4X + 15

Combine like terms: -28 + -3 = -31
-31 + -3x + 5x + x2 = (X + 7)(x + -3) + -4X + 15

Combine like terms: -3x + 5x = 2x
-31 + 2x + x2 = (X + 7)(x + -3) + -4X + 15

Reorder the terms:
-31 + 2x + x2 = (7 + X)(x + -3) + -4X + 15

Reorder the terms:
-31 + 2x + x2 = (7 + X)(-3 + x) + -4X + 15

Multiply (7 + X) * (-3 + x)
-31 + 2x + x2 = (7(-3 + x) + X(-3 + x)) + -4X + 15
-31 + 2x + x2 = ((-3 * 7 + x * 7) + X(-3 + x)) + -4X + 15
-31 + 2x + x2 = ((-21 + 7x) + X(-3 + x)) + -4X + 15
-31 + 2x + x2 = (-21 + 7x + (-3 * X + x * X)) + -4X + 15
-31 + 2x + x2 = (-21 + 7x + (-3X + xX)) + -4X + 15

Reorder the terms:
-31 + 2x + x2 = (-21 + -3X + 7x + xX) + -4X + 15
-31 + 2x + x2 = (-21 + -3X + 7x + xX) + -4X + 15

Reorder the terms:
-31 + 2x + x2 = -21 + 15 + -3X + -4X + 7x + xX

Combine like terms: -21 + 15 = -6
-31 + 2x + x2 = -6 + -3X + -4X + 7x + xX

Combine like terms: -3X + -4X = -7X
-31 + 2x + x2 = -6 + -7X + 7x + xX

Solving
-31 + 2x + x2 = -6 + -7X + 7x + xX

Solving for variable 'x'.

Reorder the terms:
-31 + 6 + 7X + 2x + -7x + -1xX + x2 = -6 + -7X + 7x + xX + 6 + 7X + -7x + -1xX

Combine like terms: -31 + 6 = -25
-25 + 7X + 2x + -7x + -1xX + x2 = -6 + -7X + 7x + xX + 6 + 7X + -7x + -1xX

Combine like terms: 2x + -7x = -5x
-25 + 7X + -5x + -1xX + x2 = -6 + -7X + 7x + xX + 6 + 7X + -7x + -1xX

Reorder the terms:
-25 + 7X + -5x + -1xX + x2 = -6 + 6 + -7X + 7X + 7x + -7x + xX + -1xX

Combine like terms: -6 + 6 = 0
-25 + 7X + -5x + -1xX + x2 = 0 + -7X + 7X + 7x + -7x + xX + -1xX
-25 + 7X + -5x + -1xX + x2 = -7X + 7X + 7x + -7x + xX + -1xX

Combine like terms: -7X + 7X = 0
-25 + 7X + -5x + -1xX + x2 = 0 + 7x + -7x + xX + -1xX
-25 + 7X + -5x + -1xX + x2 = 7x + -7x + xX + -1xX

Combine like terms: 7x + -7x = 0
-25 + 7X + -5x + -1xX + x2 = 0 + xX + -1xX
-25 + 7X + -5x + -1xX + x2 = xX + -1xX

Combine like terms: xX + -1xX = 0
-25 + 7X + -5x + -1xX + x2 = 0

The solution to this equation could not be determined.

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