(-8x-5)(x+6)=(x+3)(-8x-8)

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Solution for (-8x-5)(x+6)=(x+3)(-8x-8) equation:


Simplifying
(-8x + -5)(x + 6) = (x + 3)(-8x + -8)

Reorder the terms:
(-5 + -8x)(x + 6) = (x + 3)(-8x + -8)

Reorder the terms:
(-5 + -8x)(6 + x) = (x + 3)(-8x + -8)

Multiply (-5 + -8x) * (6 + x)
(-5(6 + x) + -8x * (6 + x)) = (x + 3)(-8x + -8)
((6 * -5 + x * -5) + -8x * (6 + x)) = (x + 3)(-8x + -8)
((-30 + -5x) + -8x * (6 + x)) = (x + 3)(-8x + -8)
(-30 + -5x + (6 * -8x + x * -8x)) = (x + 3)(-8x + -8)
(-30 + -5x + (-48x + -8x2)) = (x + 3)(-8x + -8)

Combine like terms: -5x + -48x = -53x
(-30 + -53x + -8x2) = (x + 3)(-8x + -8)

Reorder the terms:
-30 + -53x + -8x2 = (3 + x)(-8x + -8)

Reorder the terms:
-30 + -53x + -8x2 = (3 + x)(-8 + -8x)

Multiply (3 + x) * (-8 + -8x)
-30 + -53x + -8x2 = (3(-8 + -8x) + x(-8 + -8x))
-30 + -53x + -8x2 = ((-8 * 3 + -8x * 3) + x(-8 + -8x))
-30 + -53x + -8x2 = ((-24 + -24x) + x(-8 + -8x))
-30 + -53x + -8x2 = (-24 + -24x + (-8 * x + -8x * x))
-30 + -53x + -8x2 = (-24 + -24x + (-8x + -8x2))

Combine like terms: -24x + -8x = -32x
-30 + -53x + -8x2 = (-24 + -32x + -8x2)

Add '8x2' to each side of the equation.
-30 + -53x + -8x2 + 8x2 = -24 + -32x + -8x2 + 8x2

Combine like terms: -8x2 + 8x2 = 0
-30 + -53x + 0 = -24 + -32x + -8x2 + 8x2
-30 + -53x = -24 + -32x + -8x2 + 8x2

Combine like terms: -8x2 + 8x2 = 0
-30 + -53x = -24 + -32x + 0
-30 + -53x = -24 + -32x

Solving
-30 + -53x = -24 + -32x

Solving for variable 'x'.

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

Add '32x' to each side of the equation.
-30 + -53x + 32x = -24 + -32x + 32x

Combine like terms: -53x + 32x = -21x
-30 + -21x = -24 + -32x + 32x

Combine like terms: -32x + 32x = 0
-30 + -21x = -24 + 0
-30 + -21x = -24

Add '30' to each side of the equation.
-30 + 30 + -21x = -24 + 30

Combine like terms: -30 + 30 = 0
0 + -21x = -24 + 30
-21x = -24 + 30

Combine like terms: -24 + 30 = 6
-21x = 6

Divide each side by '-21'.
x = -0.2857142857

Simplifying
x = -0.2857142857

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