To solve this equation, we need to first find a common denominator for the fractions on the left side of the equation. The common denominator is (20-x)(20+x).

So, rewrite the equation with the common denominator:

(48(20+x) + 48(20-x)) / ((20-x)(20+x)) = 5

Now, simplify the numerator:

48(20+x) + 48(20-x) = 48(20+x+20-x)
= 48(40)
= 1920

So, the equation becomes:

1920 / ((20-x)(20+x)) = 5

Now, multiply both sides of the equation by ((20-x)(20+x)) to eliminate the denominator:

1920 = 5((20-x)(20+x))
1920 = 5(400-x^2)

Now, distribute the 5:

1920 = 2000 - 5x^2

Rearrange the equation to form a quadratic equation:

5x^2 = 2000 - 1920
5x^2 = 80
x^2 = 16
x = ±4

Therefore, the solutions to the equation are x = 4 and x = -4.