solve the following rational equetions

x+20/x-4

To solve the rational equation (x + 20)/(x - 4), we need to find the value(s) of x that make the equation true.

First, we need to set a restriction to make sure the denominator (x - 4) is not equal to zero:
x - 4 ≠ 0
x ≠ 4

Now, to solve the equation, we can set the numerator equal to zero and solve for x:
x + 20 = 0
x = -20

Therefore, the solution to the rational equation is x = -20, with the restriction that x ≠ 4.