(x+3)(x-3)=(x+7)(x-8)+9

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Solution for (x+3)(x-3)=(x+7)(x-8)+9 equation: 


Simplifying
(x + 3)(x + -3) = (x + 7)(x + -8) + 9

Reorder the terms:
(3 + x)(x + -3) = (x + 7)(x + -8) + 9

Reorder the terms:
(3 + x)(-3 + x) = (x + 7)(x + -8) + 9

Multiply (3 + x) * (-3 + x)
(3(-3 + x) + x(-3 + x)) = (x + 7)(x + -8) + 9
((-3 * 3 + x * 3) + x(-3 + x)) = (x + 7)(x + -8) + 9
((-9 + 3x) + x(-3 + x)) = (x + 7)(x + -8) + 9
(-9 + 3x + (-3 * x + x * x)) = (x + 7)(x + -8) + 9
(-9 + 3x + (-3x + x2)) = (x + 7)(x + -8) + 9

Combine like terms: 3x + -3x = 0
(-9 + 0 + x2) = (x + 7)(x + -8) + 9
(-9 + x2) = (x + 7)(x + -8) + 9

Reorder the terms:
-9 + x2 = (7 + x)(x + -8) + 9

Reorder the terms:
-9 + x2 = (7 + x)(-8 + x) + 9

Multiply (7 + x) * (-8 + x)
-9 + x2 = (7(-8 + x) + x(-8 + x)) + 9
-9 + x2 = ((-8 * 7 + x * 7) + x(-8 + x)) + 9
-9 + x2 = ((-56 + 7x) + x(-8 + x)) + 9
-9 + x2 = (-56 + 7x + (-8 * x + x * x)) + 9
-9 + x2 = (-56 + 7x + (-8x + x2)) + 9

Combine like terms: 7x + -8x = -1x
-9 + x2 = (-56 + -1x + x2) + 9

Reorder the terms:
-9 + x2 = -56 + 9 + -1x + x2

Combine like terms: -56 + 9 = -47
-9 + x2 = -47 + -1x + x2

Add '-1x2' to each side of the equation.
-9 + x2 + -1x2 = -47 + -1x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-9 + 0 = -47 + -1x + x2 + -1x2
-9 = -47 + -1x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-9 = -47 + -1x + 0
-9 = -47 + -1x

Solving
-9 = -47 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-9 + x = -47 + -1x + x

Combine like terms: -1x + x = 0
-9 + x = -47 + 0
-9 + x = -47

Add '9' to each side of the equation.
-9 + 9 + x = -47 + 9

Combine like terms: -9 + 9 = 0
0 + x = -47 + 9
x = -47 + 9

Combine like terms: -47 + 9 = -38
x = -38

Simplifying
x = -38

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