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Equity Incentive Awards (Details 3) (USD $)
 12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Share-based Compensation Arrangement by Share-based Payment Award      
Share-based Compensation Arrangement by Share-based Payment Award, Stock Bonus and Restricted Stock, Grants in Period 102,560lxrx_ShareBasedCompensationArrangementByShareBasedPaymentAwardStockBonusAndRestrictedStockGrantsInPeriod 80,808lxrx_ShareBasedCompensationArrangementByShareBasedPaymentAwardStockBonusAndRestrictedStockGrantsInPeriod 94,112lxrx_ShareBasedCompensationArrangementByShareBasedPaymentAwardStockBonusAndRestrictedStockGrantsInPeriod
Share-based Compensation Arrangement by Share-based Payment Award, Stock Bonus and Restricted Stock, Grants in Period, Weighted Average Grant Date Fair Value $ 1.56lxrx_ShareBasedCompensationArrangementByShareBasedPaymentAwardStockBonusAndRestrictedStockGrantsInPeriodWeightedAverageGrantDateFairValue $ 1.98lxrx_ShareBasedCompensationArrangementByShareBasedPaymentAwardStockBonusAndRestrictedStockGrantsInPeriodWeightedAverageGrantDateFairValue $ 1.70lxrx_ShareBasedCompensationArrangementByShareBasedPaymentAwardStockBonusAndRestrictedStockGrantsInPeriodWeightedAverageGrantDateFairValue
Share-based Compensation Arrangement by Share-based Payment Award, Stock Bonus and Restricted Stock to Consultants, Grants in Period 57,400lxrx_SharebasedCompensationArrangementbySharebasedPaymentAwardStockBonusandRestrictedStocktoConsultantsGrantsinPeriod    
Share-based Compensation Arrangement by Share-based Payment Award, Stock Bonus and Restricted Stock to Consultants, Grants in Period, Weighted Average Grant Date Fair Value $ 1.60lxrx_SharebasedCompensationArrangementbySharebasedPaymentAwardStockBonusandRestrictedStocktoConsultantsGrantsinPeriodWeightedAverageGrantDateFairValue