# -9/7x + 8 < -4x - 5

-9/7x + 4x + 8 , -4x + 4x - 5

-9/7x + 4x +8 < -5

The book then has

19/7x + 8 < - 5

I know how to solve this but I am lacking or trying to remeber how they got 19/7 - need a refresher

Convert the "x" terms to common denominators

4 x - (9/7) x = 28 x - (9/7) x

= (19/7) x

## To convert the "x" terms to common denominators in the expression -9/7x + 4x + 8, we need to find a common denominator for -9/7 and 4. The least common denominator (LCD) of 7 and 1 is 7.

To convert -9/7 to a fraction with the denominator 7, we multiply both the numerator and denominator by 7:

(-9/7) * (7/1) = -63/7

So, the expression becomes:

-63/7x + 4x + 8

Now, we can simplify the expression:

-63/7x + 4x + 8 = (-63x + 4x) / 7 + 8 = (-59x) / 7 + 8

The "x" term has been converted to a fraction with a common denominator of 7. Now, we have:

(-59x) / 7 + 8 < -5

Next, to combine the fractions, we need to have a common denominator of 7 for both terms. The LCD is already 7, so we can proceed:

((-59x) / 7) + (8/1) < -5

Now, we can add the fractions:

((-59x) + (8 * 7)) / 7 < -5

((-59x) + 56) / 7 < -5

So, the expression becomes ((-59x) + 56) / 7 < -5.

Please note that this is the step before the book's expression of (19/7)x + 8 < -5. It seems there may have been an error or confusion in the given question.