What is x?

5|9 - 5k| - 7 = 38

k = 0, k = 18/5

Step-by-step explanation:

5|9 - 5k| - 7 = 38

Add 7 to each side

5|9 - 5k| - 7+7 = 38+7

5|9 - 5k| = 45

Divide each side by 5

5|9 - 5k| / 5 = 45/5

|9 - 5k| = 9

We isolated the absolute value so now we split the equation into 2 parts, a positive and a negative

9-5k = 9 9-5k = - 9

Subtract 9 from each side

9-9-5k = 9-9 9-9-5k = - 9-9

-5k = 0 - 5k = - 18

Divide each side by - 5

-5k/-5 = 0/-5 - 5k/-5 = - 18/-5

k = 0 k = 18/5