(x+5)(x-5)=(x+1)(x+3)+12

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Solution for (x+5)(x-5)=(x+1)(x+3)+12 equation: 


Simplifying
(x + 5)(x + -5) = (x + 1)(x + 3) + 12

Reorder the terms:
(5 + x)(x + -5) = (x + 1)(x + 3) + 12

Reorder the terms:
(5 + x)(-5 + x) = (x + 1)(x + 3) + 12

Multiply (5 + x) * (-5 + x)
(5(-5 + x) + x(-5 + x)) = (x + 1)(x + 3) + 12
((-5 * 5 + x * 5) + x(-5 + x)) = (x + 1)(x + 3) + 12
((-25 + 5x) + x(-5 + x)) = (x + 1)(x + 3) + 12
(-25 + 5x + (-5 * x + x * x)) = (x + 1)(x + 3) + 12
(-25 + 5x + (-5x + x2)) = (x + 1)(x + 3) + 12

Combine like terms: 5x + -5x = 0
(-25 + 0 + x2) = (x + 1)(x + 3) + 12
(-25 + x2) = (x + 1)(x + 3) + 12

Reorder the terms:
-25 + x2 = (1 + x)(x + 3) + 12

Reorder the terms:
-25 + x2 = (1 + x)(3 + x) + 12

Multiply (1 + x) * (3 + x)
-25 + x2 = (1(3 + x) + x(3 + x)) + 12
-25 + x2 = ((3 * 1 + x * 1) + x(3 + x)) + 12
-25 + x2 = ((3 + 1x) + x(3 + x)) + 12
-25 + x2 = (3 + 1x + (3 * x + x * x)) + 12
-25 + x2 = (3 + 1x + (3x + x2)) + 12

Combine like terms: 1x + 3x = 4x
-25 + x2 = (3 + 4x + x2) + 12

Reorder the terms:
-25 + x2 = 3 + 12 + 4x + x2

Combine like terms: 3 + 12 = 15
-25 + x2 = 15 + 4x + x2

Add '-1x2' to each side of the equation.
-25 + x2 + -1x2 = 15 + 4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-25 + 0 = 15 + 4x + x2 + -1x2
-25 = 15 + 4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-25 = 15 + 4x + 0
-25 = 15 + 4x

Solving
-25 = 15 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-25 + -4x = 15 + 4x + -4x

Combine like terms: 4x + -4x = 0
-25 + -4x = 15 + 0
-25 + -4x = 15

Add '25' to each side of the equation.
-25 + 25 + -4x = 15 + 25

Combine like terms: -25 + 25 = 0
0 + -4x = 15 + 25
-4x = 15 + 25

Combine like terms: 15 + 25 = 40
-4x = 40

Divide each side by '-4'.
x = -10

Simplifying
x = -10

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