(x+8)(-3x-5)-(-3x-5)(x+9)=

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Solution for (x+8)(-3x-5)-(-3x-5)(x+9)= equation: 


Simplifying
(x + 8)(-3x + -5) + -1(-3x + -5)(x + 9) = 0

Reorder the terms:
(8 + x)(-3x + -5) + -1(-3x + -5)(x + 9) = 0

Reorder the terms:
(8 + x)(-5 + -3x) + -1(-3x + -5)(x + 9) = 0

Multiply (8 + x) * (-5 + -3x)
(8(-5 + -3x) + x(-5 + -3x)) + -1(-3x + -5)(x + 9) = 0
((-5 * 8 + -3x * 8) + x(-5 + -3x)) + -1(-3x + -5)(x + 9) = 0
((-40 + -24x) + x(-5 + -3x)) + -1(-3x + -5)(x + 9) = 0
(-40 + -24x + (-5 * x + -3x * x)) + -1(-3x + -5)(x + 9) = 0
(-40 + -24x + (-5x + -3x2)) + -1(-3x + -5)(x + 9) = 0

Combine like terms: -24x + -5x = -29x
(-40 + -29x + -3x2) + -1(-3x + -5)(x + 9) = 0

Reorder the terms:
-40 + -29x + -3x2 + -1(-5 + -3x)(x + 9) = 0

Reorder the terms:
-40 + -29x + -3x2 + -1(-5 + -3x)(9 + x) = 0

Multiply (-5 + -3x) * (9 + x)
-40 + -29x + -3x2 + -1(-5(9 + x) + -3x * (9 + x)) = 0
-40 + -29x + -3x2 + -1((9 * -5 + x * -5) + -3x * (9 + x)) = 0
-40 + -29x + -3x2 + -1((-45 + -5x) + -3x * (9 + x)) = 0
-40 + -29x + -3x2 + -1(-45 + -5x + (9 * -3x + x * -3x)) = 0
-40 + -29x + -3x2 + -1(-45 + -5x + (-27x + -3x2)) = 0

Combine like terms: -5x + -27x = -32x
-40 + -29x + -3x2 + -1(-45 + -32x + -3x2) = 0
-40 + -29x + -3x2 + (-45 * -1 + -32x * -1 + -3x2 * -1) = 0
-40 + -29x + -3x2 + (45 + 32x + 3x2) = 0

Reorder the terms:
-40 + 45 + -29x + 32x + -3x2 + 3x2 = 0

Combine like terms: -40 + 45 = 5
5 + -29x + 32x + -3x2 + 3x2 = 0

Combine like terms: -29x + 32x = 3x
5 + 3x + -3x2 + 3x2 = 0

Combine like terms: -3x2 + 3x2 = 0
5 + 3x + 0 = 0
5 + 3x = 0

Solving
5 + 3x = 0

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 3x = 0 + -5

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

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

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667

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