Respuesta :

wegnerkolmp2741o

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

x = 12        and    x = -4

gmany

[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]