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We know that quotient is the answer to division problem. So let's call our missing number x. So let's convert this word problem into numbers.

2x = x-7

9

Personally, I don't really like working with fractions. So I'll multiply both sides by the common denominator of 9.

9•2x = 9(x-7)

9

The 9s on the left side will cancel, and we'll distribute the 9 on the left side.

2x = 9(x-7)

2x = 9x-63

Now we'll get our variable on one side.

2x = 9x-63

-9x=-9x

-7x=-63.

We'll now divide both sides by -7, and get our answer.

x=9

We can now check our answer by plugging 9 in for x.

18 = 9-7

9

Simplify:

2 = 2

Therefore, our answer is correct.

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Q: What is the quotient of twice a number and 9 is seven less than the number?
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