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

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


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

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

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

Multiply (3 + x) * (-3 + x)
(3(-3 + x) + x(-3 + x)) = (x + -5)(x + -3)
((-3 * 3 + x * 3) + x(-3 + x)) = (x + -5)(x + -3)
((-9 + 3x) + x(-3 + x)) = (x + -5)(x + -3)
(-9 + 3x + (-3 * x + x * x)) = (x + -5)(x + -3)
(-9 + 3x + (-3x + x2)) = (x + -5)(x + -3)

Combine like terms: 3x + -3x = 0
(-9 + 0 + x2) = (x + -5)(x + -3)
(-9 + x2) = (x + -5)(x + -3)

Reorder the terms:
-9 + x2 = (-5 + x)(x + -3)

Reorder the terms:
-9 + x2 = (-5 + x)(-3 + x)

Multiply (-5 + x) * (-3 + x)
-9 + x2 = (-5(-3 + x) + x(-3 + x))
-9 + x2 = ((-3 * -5 + x * -5) + x(-3 + x))
-9 + x2 = ((15 + -5x) + x(-3 + x))
-9 + x2 = (15 + -5x + (-3 * x + x * x))
-9 + x2 = (15 + -5x + (-3x + x2))

Combine like terms: -5x + -3x = -8x
-9 + x2 = (15 + -8x + x2)

Add '-1x2' to each side of the equation.
-9 + x2 + -1x2 = 15 + -8x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-9 + 0 = 15 + -8x + x2 + -1x2
-9 = 15 + -8x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-9 = 15 + -8x + 0
-9 = 15 + -8x

Solving
-9 = 15 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-9 + 8x = 15 + -8x + 8x

Combine like terms: -8x + 8x = 0
-9 + 8x = 15 + 0
-9 + 8x = 15

Add '9' to each side of the equation.
-9 + 9 + 8x = 15 + 9

Combine like terms: -9 + 9 = 0
0 + 8x = 15 + 9
8x = 15 + 9

Combine like terms: 15 + 9 = 24
8x = 24

Divide each side by '8'.
x = 3

Simplifying
x = 3

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