(x-3)(x+8)=(x-8)(x+3)

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Solution for (x-3)(x+8)=(x-8)(x+3) equation: 


Simplifying
(x + -3)(x + 8) = (x + -8)(x + 3)

Reorder the terms:
(-3 + x)(x + 8) = (x + -8)(x + 3)

Reorder the terms:
(-3 + x)(8 + x) = (x + -8)(x + 3)

Multiply (-3 + x) * (8 + x)
(-3(8 + x) + x(8 + x)) = (x + -8)(x + 3)
((8 * -3 + x * -3) + x(8 + x)) = (x + -8)(x + 3)
((-24 + -3x) + x(8 + x)) = (x + -8)(x + 3)
(-24 + -3x + (8 * x + x * x)) = (x + -8)(x + 3)
(-24 + -3x + (8x + x2)) = (x + -8)(x + 3)

Combine like terms: -3x + 8x = 5x
(-24 + 5x + x2) = (x + -8)(x + 3)

Reorder the terms:
-24 + 5x + x2 = (-8 + x)(x + 3)

Reorder the terms:
-24 + 5x + x2 = (-8 + x)(3 + x)

Multiply (-8 + x) * (3 + x)
-24 + 5x + x2 = (-8(3 + x) + x(3 + x))
-24 + 5x + x2 = ((3 * -8 + x * -8) + x(3 + x))
-24 + 5x + x2 = ((-24 + -8x) + x(3 + x))
-24 + 5x + x2 = (-24 + -8x + (3 * x + x * x))
-24 + 5x + x2 = (-24 + -8x + (3x + x2))

Combine like terms: -8x + 3x = -5x
-24 + 5x + x2 = (-24 + -5x + x2)

Add '24' to each side of the equation.
-24 + 5x + 24 + x2 = -24 + -5x + 24 + x2

Reorder the terms:
-24 + 24 + 5x + x2 = -24 + -5x + 24 + x2

Combine like terms: -24 + 24 = 0
0 + 5x + x2 = -24 + -5x + 24 + x2
5x + x2 = -24 + -5x + 24 + x2

Reorder the terms:
5x + x2 = -24 + 24 + -5x + x2

Combine like terms: -24 + 24 = 0
5x + x2 = 0 + -5x + x2
5x + x2 = -5x + x2

Add '-1x2' to each side of the equation.
5x + x2 + -1x2 = -5x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
5x + 0 = -5x + x2 + -1x2
5x = -5x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
5x = -5x + 0
5x = -5x

Solving
5x = -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
5x + 5x = -5x + 5x

Combine like terms: 5x + 5x = 10x
10x = -5x + 5x

Combine like terms: -5x + 5x = 0
10x = 0

Divide each side by '10'.
x = 0.0

Simplifying
x = 0.0

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