Question

Solve the following problem. Give the equation using x as the​ variable, and give the answer.

The sum of three times a number and 8 more than the number is the same as the difference between −22 and twice the number. What is the​ number?
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Part 1
Write the equation using x as the variable. Choose the correct equation below.
A.
3x+​(x+8​)=−22−2x
B.
3x−8x=2x−​(−22​)
C.
3x−8x=−22−2x
D.
3x+​(x+8​)=2x−​(−22​)

Answer 1

A. 3x + (x+8) = -22 - 2x

Explanation:

Let the number equal x.

Set up the first half of the equation.

The sum of three times the number and 8 more than the number can be written as:

3x + (x+8)

Sum means that you add the components.

Set up the second half of the equation.

The difference between -22 and twice the number can be written as:

-22 - 2x

Difference means subtraction, and because -22 is written first, that is the number that you subtract from.

If you set the halves of the equation equal, you get:

3x + (x+8) = -22 - 2x

Therefore, the answer is A.