The quotient of a number and 3 is the same as the difference of the number doubled and 5. What is the number?

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Answer 1 · 2015-09-18T05:37:27

#x=3#

Let #x# equal the quotient.

#x/3=2x-5#

Multiply both sides times #3#.

#x=2x*3-5*3=#

#x=6x-15#

Subtract #6x# from both sides.

#-5x=-15#

Divide both sides by #-5#.

#x=(-15)/-5=#

#x=3#

Check

#3/3=2*3-5=#

#1=-6-5=1#

#1=1#