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Create an equation modeling the scenario. Use the equation to solve for the missing number. In your final answer, include the equation and all necessary calculations.

Twice the sum of a number and seven is three times the number. 20 points

Respuesta :

Answer:

Number = 14

Step-by-step explanation:

It is given that,

Twice the sum of a number and seven is three times the number

Let the number be x. Twice of the number is 2x. Three times of the number is 3x.

So,

2(x+7)=3x is the equation that models the given scenario

Opening brackets on LHS,

2x+14=3x

Subtracting 2x on both the sides

2x-2x+14=3x-2x

14=x

So, the number is 14.

The number is 14.

The calculation is as follows:

  • Let the number be x.
  • Twice of the number is 2x.
  • Three times of the number is 3x.

Based on the above information, the calculation is as follows:

2(x+7)=3x  

2x+14=3x

x = 14

Learn more: https://brainly.com/question/1301963?referrer=searchResults

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