Respuesta :

these two bars |  | mean absolute value

here's how to find x

| x - 7| = 2

first apply the absolute rule

x - 7 = 2                 x - 7 = -2

in both equations add 7 on both sides

x - 7 + 7 = 2 + 7       x - 7 + 7 = -2 + 7

then simplify the expressions

x = 9                         x = 5

now combine these two solutions to get your answer

x = 9 or x = 5

hopefully my explanation helps