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

Solve for x: abs(x - 3) = 16

Split the equation into two possible cases: x - 3 = 16 or x - 3 = -16

Add 3 to both sides: x = 19 or x - 3 = -16

Add 3 to both sides: x = 19 or x = -13

1. add 13 to both sides => 5|x-3|=80

2. divide by 5 on both sides => |x-3|=16

3. 2 cases:

x-3 is positive => x-3=16, x = 19.

x-3 is negative => x-3=-16, x = -13.

HOPE THIS HELPED!