SOLUTION: twice the reciprocal of a number is nine more than five times the number. find the number

twice the reciprocal of a number is nine more than five times the number. 
find the number.

A number = THE number = 

The reciprocal of A number or THE number = 

Replace "a number" and "the number" by x:

twice the reciprocal of a number is nine more than five times the number. 

twice the reciprocal of  is nine more than five times .

Replace "the reciprocal of " by 

twice  is nine more than five times .

Replace "twice " by .

 is nine more than five times .

Replace "five times " by 

 is nine more than .

Replace "nine more than " by 

 is .

Replace "is by " = "

 = .

Multiply through by x

 = 

Get 0 on the left:

 = 

 = 

, 
,   
, 

Two solutions: , 

Edwin