Answer:
x = 12 and x = -4
Step-by-step explanation:
abs (x-4) = 8
When we have absolute value equations, we get two solutions, one positive and one negative
x-4 = 8 and x-4 = -8
Add 4 to both sides
x-4+4 = 8+4 x-4+4=-8+4
[tex]|x-4|=8\iff x-4=8\ \vee\ x-4=-8\qquad\text{add 4 to both sides}\\\\\boxed{x=12\ \vee\ x=-4}[/tex]
