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HURRY PLEASE

QUICK EASY POINTS WILL GIVE BRAINLIEST

Drag a statement or reason to each box to complete the proof.

(The first screenshot is of the actual problem and the second are the answer choices)

If 7(x−2)=x+16, then x=5.

HURRY PLEASEQUICK EASY POINTS WILL GIVE BRAINLIEST Drag a statement or reason to each box to complete the proof The first screenshot is of the actual problem an class=
HURRY PLEASEQUICK EASY POINTS WILL GIVE BRAINLIEST Drag a statement or reason to each box to complete the proof The first screenshot is of the actual problem an class=

Respuesta :

jg71
answers - from top to bottom

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

Answer:

         Statement                                     Reason

1.  [tex]7(x-2)=x+16[/tex]                             Given

2. [tex]7x-14=x+16[/tex]                              Distributive property

3. [tex]7x-14+14=x+16+14[/tex]               Addition property of equality

4. [tex]7x=x+30[/tex]                                     Simplifying

5. [tex]7x-x=x+30-x[/tex]                       Subtraction property of equality

6.  [tex]6x=30[/tex]                                         Substitute property of equality

7. [tex]\frac{6x}{6}=\frac{30}{6}[/tex]                                           Division property of equality

8. [tex]x=5[/tex]                                                  Simplifying

Step-by-step explanation:

The given equation is

[tex]7(x-2)=x+16[/tex]

The solution of given equation is x=5.

We need to write a complete proof.

         Statement                                     Reason

1.  [tex]7(x-2)=x+16[/tex]                             Given

2. [tex]7x-14=x+16[/tex]                              Distributive property

3. [tex]7x-14+14=x+16+14[/tex]               Addition property of equality

4. [tex]7x=x+30[/tex]                                     Simplifying

5. [tex]7x-x=x+30-x[/tex]                       Subtraction property of equality

6.  [tex]6x=30[/tex]                                         Substitute property of equality

7. [tex]\frac{6x}{6}=\frac{30}{6}[/tex]                                           Division property of equality

8. [tex]x=5[/tex]                                                  Simplifying