(X+7)(x-3)=x+3x-16

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Solution for (X+7)(x-3)=x+3x-16 equation:


Simplifying
(X + 7)(x + -3) = x + 3x + -16

Reorder the terms:
(7 + X)(x + -3) = x + 3x + -16

Reorder the terms:
(7 + X)(-3 + x) = x + 3x + -16

Multiply (7 + X) * (-3 + x)
(7(-3 + x) + X(-3 + x)) = x + 3x + -16
((-3 * 7 + x * 7) + X(-3 + x)) = x + 3x + -16
((-21 + 7x) + X(-3 + x)) = x + 3x + -16
(-21 + 7x + (-3 * X + x * X)) = x + 3x + -16
(-21 + 7x + (-3X + xX)) = x + 3x + -16

Reorder the terms:
(-21 + -3X + 7x + xX) = x + 3x + -16
(-21 + -3X + 7x + xX) = x + 3x + -16

Reorder the terms:
-21 + -3X + 7x + xX = -16 + x + 3x

Combine like terms: x + 3x = 4x
-21 + -3X + 7x + xX = -16 + 4x

Solving
-21 + -3X + 7x + xX = -16 + 4x

Solving for variable 'X'.

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

Add '21' to each side of the equation.
-21 + -3X + 7x + 21 + xX = -16 + 21 + 4x

Reorder the terms:
-21 + 21 + -3X + 7x + xX = -16 + 21 + 4x

Combine like terms: -21 + 21 = 0
0 + -3X + 7x + xX = -16 + 21 + 4x
-3X + 7x + xX = -16 + 21 + 4x

Combine like terms: -16 + 21 = 5
-3X + 7x + xX = 5 + 4x

Add '-7x' to each side of the equation.
-3X + 7x + -7x + xX = 5 + 4x + -7x

Combine like terms: 7x + -7x = 0
-3X + 0 + xX = 5 + 4x + -7x
-3X + xX = 5 + 4x + -7x

Combine like terms: 4x + -7x = -3x
-3X + xX = 5 + -3x

Reorder the terms:
-5 + -3X + 3x + xX = 5 + -3x + -5 + 3x

Reorder the terms:
-5 + -3X + 3x + xX = 5 + -5 + -3x + 3x

Combine like terms: 5 + -5 = 0
-5 + -3X + 3x + xX = 0 + -3x + 3x
-5 + -3X + 3x + xX = -3x + 3x

Combine like terms: -3x + 3x = 0
-5 + -3X + 3x + xX = 0

The solution to this equation could not be determined.

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