Final answer:
The equation 9 + 20x = 24 is solved by subtracting 9 from both sides, then dividing by 20, resulting in x = 15/20, which simplifies to x = 3/4.
Step-by-step explanation:
To solve the equation 9 + 20x = 24, we need to isolate the variable x. First, subtract 9 from both sides of the equation, which gives us 20x = 24 - 9. Simplifying, we get 20x = 15.
To find the value of x, divide both sides of the equation by 20:
20x / 20 = 15 / 20
This simplifies to x = 15/20. To express x in its simplest form, we can reduce the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 5.
So, the simplest form is x = (15/5) / (20/5) which equals x = 3/4. Therefore, x as a fraction in its simplest form is 3/4.