Solve the following and show all steps: 5|x - 3| - 13 = 67

x=19 and x = - 13

Step-by-step explanation:

5|x - 3| - 13 = 67

We need to isolate the absolute value

Add 13 to each side

5|x - 3| - 13+13 = 67+13

5|x - 3| = 80

Divide each side by 5

5|x - 3|/5 = 80/5

|x - 3| = 16

To remove the absolute value. we set the term inside the absolute value equal to the term both the positive and negative of the right side

x-3 = 16 and x-3 = - 16

Add 3 to each side

x-3+3 = 16+3 x-3+3 = - 16+3

x=19 and x = - 13

Step-by-step explanation:

5|x-3|-13 = 67

5|x-3| = 80

|x-3| = 16

x = - 13, 19