(x+3)(x-3)=5-(x+2)(x-2)

Solution for (x+3)(x-3)=5-(x+2)(x-2) equation:

Simplifying
(x + 3)(x + -3) = 5 + -1(x + 2)(x + -2)

Reorder the terms:
(3 + x)(x + -3) = 5 + -1(x + 2)(x + -2)

Reorder the terms:
(3 + x)(-3 + x) = 5 + -1(x + 2)(x + -2)

Multiply (3 + x) * (-3 + x)
(3(-3 + x) + x(-3 + x)) = 5 + -1(x + 2)(x + -2)
((-3 * 3 + x * 3) + x(-3 + x)) = 5 + -1(x + 2)(x + -2)
((-9 + 3x) + x(-3 + x)) = 5 + -1(x + 2)(x + -2)
(-9 + 3x + (-3 * x + x * x)) = 5 + -1(x + 2)(x + -2)
(-9 + 3x + (-3x + x2)) = 5 + -1(x + 2)(x + -2)

Combine like terms: 3x + -3x = 0
(-9 + 0 + x2) = 5 + -1(x + 2)(x + -2)
(-9 + x2) = 5 + -1(x + 2)(x + -2)

Reorder the terms:
-9 + x2 = 5 + -1(2 + x)(x + -2)

Reorder the terms:
-9 + x2 = 5 + -1(2 + x)(-2 + x)

Multiply (2 + x) * (-2 + x)
-9 + x2 = 5 + -1(2(-2 + x) + x(-2 + x))
-9 + x2 = 5 + -1((-2 * 2 + x * 2) + x(-2 + x))
-9 + x2 = 5 + -1((-4 + 2x) + x(-2 + x))
-9 + x2 = 5 + -1(-4 + 2x + (-2 * x + x * x))
-9 + x2 = 5 + -1(-4 + 2x + (-2x + x2))

Combine like terms: 2x + -2x = 0
-9 + x2 = 5 + -1(-4 + 0 + x2)
-9 + x2 = 5 + -1(-4 + x2)
-9 + x2 = 5 + (-4 * -1 + x2 * -1)
-9 + x2 = 5 + (4 + -1x2)

Combine like terms: 5 + 4 = 9
-9 + x2 = 9 + -1x2

Solving
-9 + x2 = 9 + -1x2

Solving for variable 'x'.

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

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

Combine like terms: x2 + x2 = 2x2
-9 + 2x2 = 9 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-9 + 2x2 = 9 + 0
-9 + 2x2 = 9

Add '9' to each side of the equation.
-9 + 9 + 2x2 = 9 + 9

Combine like terms: -9 + 9 = 0
0 + 2x2 = 9 + 9
2x2 = 9 + 9

Combine like terms: 9 + 9 = 18
2x2 = 18

Divide each side by '2'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}