(x-4)(x+5)=(x-8)(x+6)

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Solution for (x-4)(x+5)=(x-8)(x+6) equation: 


Simplifying
(x + -4)(x + 5) = (x + -8)(x + 6)

Reorder the terms:
(-4 + x)(x + 5) = (x + -8)(x + 6)

Reorder the terms:
(-4 + x)(5 + x) = (x + -8)(x + 6)

Multiply (-4 + x) * (5 + x)
(-4(5 + x) + x(5 + x)) = (x + -8)(x + 6)
((5 * -4 + x * -4) + x(5 + x)) = (x + -8)(x + 6)
((-20 + -4x) + x(5 + x)) = (x + -8)(x + 6)
(-20 + -4x + (5 * x + x * x)) = (x + -8)(x + 6)
(-20 + -4x + (5x + x2)) = (x + -8)(x + 6)

Combine like terms: -4x + 5x = 1x
(-20 + 1x + x2) = (x + -8)(x + 6)

Reorder the terms:
-20 + 1x + x2 = (-8 + x)(x + 6)

Reorder the terms:
-20 + 1x + x2 = (-8 + x)(6 + x)

Multiply (-8 + x) * (6 + x)
-20 + 1x + x2 = (-8(6 + x) + x(6 + x))
-20 + 1x + x2 = ((6 * -8 + x * -8) + x(6 + x))
-20 + 1x + x2 = ((-48 + -8x) + x(6 + x))
-20 + 1x + x2 = (-48 + -8x + (6 * x + x * x))
-20 + 1x + x2 = (-48 + -8x + (6x + x2))

Combine like terms: -8x + 6x = -2x
-20 + 1x + x2 = (-48 + -2x + x2)

Add '-1x2' to each side of the equation.
-20 + 1x + x2 + -1x2 = -48 + -2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-20 + 1x + 0 = -48 + -2x + x2 + -1x2
-20 + 1x = -48 + -2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-20 + 1x = -48 + -2x + 0
-20 + 1x = -48 + -2x

Solving
-20 + 1x = -48 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-20 + 1x + 2x = -48 + -2x + 2x

Combine like terms: 1x + 2x = 3x
-20 + 3x = -48 + -2x + 2x

Combine like terms: -2x + 2x = 0
-20 + 3x = -48 + 0
-20 + 3x = -48

Add '20' to each side of the equation.
-20 + 20 + 3x = -48 + 20

Combine like terms: -20 + 20 = 0
0 + 3x = -48 + 20
3x = -48 + 20

Combine like terms: -48 + 20 = -28
3x = -28

Divide each side by '3'.
x = -9.333333333

Simplifying
x = -9.333333333

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