Study Example 1 carefully. Then find the value of x in equation.EXAMPLE 1Find the value of...

Study Example 1 carefully. Then find the value of x in equation.

EXAMPLE 1

Find the value of x in the equation . Reduce your answer.

Solution

The LCD for the two fractions and is 30.

Thus we can write the equation in the equivalent form.

The denominators are the same. Look at the numerators. We must add 2 to 25 to get 27.

So and we reduce the fraction to obtain .