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Stockholders' Equity (Details 3) (USD $)
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Number of Shares      
Outstanding at end of year 5,298,877us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber 2,013,876us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber  
Employee      
Number of Shares      
Outstanding at beginning of year 1,983,877us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber
/ us-gaap_AwardTypeAxis
= spex_EmployeeMember
7,163us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber
/ us-gaap_AwardTypeAxis
= spex_EmployeeMember
 
Employee Options granted 3,260,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross
/ us-gaap_AwardTypeAxis
= spex_EmployeeMember
1,976,714us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross
/ us-gaap_AwardTypeAxis
= spex_EmployeeMember
 
Outstanding at end of year 5,243,877us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber
/ us-gaap_AwardTypeAxis
= spex_EmployeeMember
1,983,877us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber
/ us-gaap_AwardTypeAxis
= spex_EmployeeMember
7,163us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber
/ us-gaap_AwardTypeAxis
= spex_EmployeeMember
Options vested and expected to vest 5,243,877spex_OptionsVestedAndExpectedToEmployee
/ us-gaap_AwardTypeAxis
= spex_EmployeeMember
   
Options vested and exercisable 4,776,252spex_OptionsVestedAndExercisableEmployee
/ us-gaap_AwardTypeAxis
= spex_EmployeeMember
   
Weighted Average Exercise Price      
Outstanding at beginning of year $ 7.14us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= spex_EmployeeMember
$ 22.35us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= spex_EmployeeMember
 
Employee Options granted $ 3.65us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= spex_EmployeeMember
$ 7.08us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= spex_EmployeeMember
 
Outstanding at end of year $ 4.97us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= spex_EmployeeMember
$ 7.14us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= spex_EmployeeMember
$ 22.35us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= spex_EmployeeMember
Options vested and expected to vest $ 4.97spex_OptionsVestedAndExpectedToWeightedAverageEmployee
/ us-gaap_AwardTypeAxis
= spex_EmployeeMember
   
Options vested and exercisable $ 5.10spex_OptionsVestedAndExercisableWeightedAverageEmployee
/ us-gaap_AwardTypeAxis
= spex_EmployeeMember
   
Aggregate Intrinsic Value      
Aggregate intrinsic value of share outstanding         
Employee Options granted         
Options vested and expected to vest         
Options vested and exercisable       
Weighted Average Remaining Contractual Life      
Weighted average remaining contractual life of share outstanding 6 years   4 years 4 months 24 days
Weighted average remaining contractual life of share Options granted 9 years 2 months 12 days   9 years 3 months 18 days
Options vested and expected to vest 6 years    
Options vested and exercisable 6 years 1 month 6 days