Question

HURRY PLEASE

Answer 1

Answers - from top to bottom

$7(x - 2) = x + 16$
$distributive \: property$
$addition \: property \: of \: equality$
$7x = x + 30$
$subtraction \: property \: of \: equality$
$6x = 30$
$division \: property \: of \: equality$
$simplifying$

Answer 2

Answer:

         Statement                                     Reason

1.  $7(x-2)=x+16$                             Given

2. $7x-14=x+16$                              Distributive property

3. $7x-14+14=x+16+14$               Addition property of equality

4. $7x=x+30$                                     Simplifying

5. $7x-x=x+30-x$                       Subtraction property of equality

6.  $6x=30$                                         Substitute property of equality

7. $\frac{6x}{6}=\frac{30}{6}$                                           Division property of equality

8. $x=5$                                                  Simplifying

Step-by-step explanation:

The given equation is

$7(x-2)=x+16$

The solution of given equation is x=5.

We need to write a complete proof.

         Statement                                     Reason

1.  $7(x-2)=x+16$                             Given

2. $7x-14=x+16$                              Distributive property

3. $7x-14+14=x+16+14$               Addition property of equality

4. $7x=x+30$                                     Simplifying

5. $7x-x=x+30-x$                       Subtraction property of equality

6.  $6x=30$                                         Substitute property of equality

7. $\frac{6x}{6}=\frac{30}{6}$                                           Division property of equality

8. $x=5$                                                  Simplifying