msmary5000pclyg2 msmary5000pclyg2
  • 04-08-2018
  • Mathematics
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twice the difference of a number and 3 equals 8

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afrazi01p8qv5j
afrazi01p8qv5j afrazi01p8qv5j
  • 04-08-2018

This equation would be written as 2(n-3)=8.

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TheEnthusiastM TheEnthusiastM
  • 04-08-2018

Suppose the number = x

Then, algebraically written, it would be:

2x - 3 = 8

Now we just solve this for x:

2x - 3 = 8

Adding 3 to both sides:

2x - 3 + 3 = 8 + 3

2x = 11

Dividing both sides by 2:

2x/2 = 11/2

x = 5.5

Proof:

We shall check it by substituting the value of x in the original equation:

2x - 3 = 8

2(5.5) - 3 = 8

11 - 3 = 8

8 = 8

This proves that our solution was correct :)

I hope this helps, I tried to be as descriptive as possible.

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