Find the calculated value of the rational expression 2x + 6/4x - 8

2

Step-by-step explanation:

To calculate the value of the given rational expression (2x + 6) / (4x - 8), it is a good idea to simplify it first.

To simplify this expression, we can take the common out of both, the numerator and the denominator, as shown:

From the term 2x + 6, we can take out 2 as the common and from 4x-8, we can take 4 as common so the terms will become;

2 (x + 3) / 4 (x - 2)

2 from the numerator and 4 from the denominator will get cancelled and we will get x+3 / 2(x-2)

so we will solve for x-2 = 0 to get x = 2 which is the excluded value.