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Stock-Based Compensation (Details 2) (Stock Option [Member])
3 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Stock Option [Member]
   
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Expected Volatility Rate, Employees 63.00%lxrx_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedvolatilityrateEmployees
/ us-gaap_AwardTypeAxis
= us-gaap_StockOptionMember
66.00%lxrx_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedvolatilityrateEmployees
/ us-gaap_AwardTypeAxis
= us-gaap_StockOptionMember
Expected Volatility Rate, Officers and Non-employee Directors 81.00%lxrx_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRateOfficersAndNonEmployeeDirectors
/ us-gaap_AwardTypeAxis
= us-gaap_StockOptionMember
80.00%lxrx_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRateOfficersAndNonEmployeeDirectors
/ us-gaap_AwardTypeAxis
= us-gaap_StockOptionMember
Risk Free Interest Rate, Employees 1.20%lxrx_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRateEmployee
/ us-gaap_AwardTypeAxis
= us-gaap_StockOptionMember
1.10%lxrx_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRateEmployee
/ us-gaap_AwardTypeAxis
= us-gaap_StockOptionMember
Risk Free Interest Rate, Officers and Non-employee Directors 1.90%lxrx_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRateOfficersAndNonEmployeeDirectors
/ us-gaap_AwardTypeAxis
= us-gaap_StockOptionMember
2.30%lxrx_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRateOfficersAndNonEmployeeDirectors
/ us-gaap_AwardTypeAxis
= us-gaap_StockOptionMember
Expected Term, Employees 4 years 4 years
Expected Term, Officers and Non-employee Directors 8 years 8 years
Expected Dividend Rate, Employees 0.00%lxrx_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRateEmployees
/ us-gaap_AwardTypeAxis
= us-gaap_StockOptionMember
0.00%lxrx_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRateEmployees
/ us-gaap_AwardTypeAxis
= us-gaap_StockOptionMember
Expected Dividend Rate, Officers and Non-employee Directors 0.00%lxrx_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRateOfficersAndNonEmployeeDirectors
/ us-gaap_AwardTypeAxis
= us-gaap_StockOptionMember
0.00%lxrx_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRateOfficersAndNonEmployeeDirectors
/ us-gaap_AwardTypeAxis
= us-gaap_StockOptionMember