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 · 2018-05-04T19:38:25

#=>n = 2#

Let the number be called #n#.

"The quotient of a number and 2" would be #n/2#

"The difference of the number doubled and 3" would be #2n - 3#.

When it says "the same", that means #=#

So we get:

#=>n/2 = 2n -3#

Now we solve for #n#. Start by multiplying both sides by #2#

#n = 4n - 6#

Now subtract #4n# from both sides

#-3n = -6#

Now divide both sides by #-3#

#=>n = 2#