The given value is 5 and the absolute deviation is 8.

Let x be the number.

Write the absolute value equation by using the formula of absolute deviation .

Therefore absolute value equation is .

The above equation in the form where and it is equivalent to the statement .

Rewrite the equation as two equations . Then solve each equation separately.

Solve the equation 1: .

Add 5 to each side.

.

Solve the equation 2: .

Add 5 to each side.

.

The values of x are .