The quotient of a number and 2 is the same as the difference of the number doubled and 3. What is the number?

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Answer 1 · 2018-03-26T06:20:11

See below.

The first thing we need to do is derive expressions from the given problem.

"The quotient of a number and 2", can be written as:

#x/2#

And "the difference of a number doubled and 3" as:

#2x-3#

In the problem, it states that both of these expressions have the same value.

Knowing this, we need only set these expressions equal to each other:

#x/2 = 2x-3#

And we solve for#x#:

#x/2 = 2x-3#

#=>x=2(2x-3)#

#=> x=4x-6#

#=>-3x=-6#

#=> x=2#