The equation is . \ \

\

According to addition property of equality; if a = b, then a + c = b + c.

             (Add 4 to each side).

                        (Additive inverse property: )

                           (Add: 6 + 4 = 10)

According to multiplication property of equality:

For any number a, b and c, If a = b then ac = bc.

                (Multiply each side by 5)

                        (Cancel common terms)

                              (Multiply: ) \ \

                  (Subtract each side by 3)

                              (Additive inverse property: )

w = 47                                     (Subtract: 50 - 3 = 47) \ \

Check:

To check the solution, substitute w = 47 in original equation.

                              (Add: 47 + 3 = 50)

                                (Divide:)

6 = 6                                        (Subtract:)

Compare the values, the equation is true.

The value of w = 47.