Draw a figure to represent the given information.

From figure; write the equation..

        (Substitute the values)

Rewrite the equation using associative and distributive property.

    (Commutative proparty of addition:)

              (Add: )

                       (Subtract: )

Addition property of equality; if a = b then a + c = b + c .

            ( Add 2 to each side)

                        (Additive inverse property  )

                              (Add )

Division property of equality; if a = b then 

                         (Divide each side by 8)

                              (Cancel commen terms)

                                   (Divide )

Length of segment

                      (Substitute x = 4)

                          (Multiply )

                                (Subtract 24 - 5= 19)

Length of segment 

                      (Substitute x = 4)

                            (Multiply )

                                (Add  8 + 3 = 11)

The value of x is 4 .

The value of LM is 11 .