Metformin in Patients With Fragile X

Inclusion Criteria: * Male between the ages of 16-50 years old at the time of consent * Diagnosis of full mutation FXS. * Stable on any psychoactive medication for at least 4 weeks before receiving study drug, including antidepressants, stimulants, antipsychotics, and mood stabilizers. * Seizure free for at least the past 3 months. * No major health issues or diseases expected to interfere with the study * No history of diabetes * Not currently taking metformin at the time of enrollment * Average basal blood glucose HgbA1c \< 7.0 * Study partner with frequent contact with patient willing to accompany patient to visits and complete caretaker/partner study forms * No contraindication to metformin * Willing to complete all baseline assessments and study procedures Exclusion Criteria: * Has a medical condition that would make treatment unsafe such as diabetes, pancreatic disease, liver or kidney disease, a history of epilepsy or seizure disorder that is not controlled, as well as any other medical condition as determined by the study doctor. * Has an eating disorder that has been clinically diagnosed, predisposing them to low BMI. * Has received any investigational compound within 30 days prior to the first dose of study medication. * Has received metformin in a previous clinical study or as a therapeutic agent. * Is an immediate family member, study site employee, or in a dependent relationship with a study site employee who is involved in the conduct of this study (e.g., spouse, parent, child, sibling), or may consent under duress. * Has uncontrolled, clinically significant neurological, cardiovascular, pulmonary, hepatic, renal, metabolic, gastrointestinal, or endocrine disease or other abnormality which may impact the ability of the participant to participate or potentially confound the study results. * Has a known hypersensitivity to any component of the formulation of metformin. * Has a history of drug abuse (defined as any illicit drug use) or a history of alcohol abuse within 6 months prior to the screening visit or is unwilling to agree to abstain from alcohol and drugs throughout the study. * Currently taking any excluded medication, supplements, or food products, or has taken any in the 3 weeks preceding Visit 1. This includes carbonic anhydrase inhibitors and the medication topamax. * Has evidence of current cardiovascular, hepatic, hematopoietic disease, renal dysfunction, metabolic or endocrine dysfunction, serious allergy, asthma hypoxemia, hypertension or allergic skin rash. There is any finding in the participant's medical history, physical examination, or safety laboratory tests giving reasonable suspicion of a disease that would contraindicate taking metformin or a similar drug in the same class, or that might interfere with the conduct of the study. This includes, but is not limited to uncontrolled seizure disorders, and cardiac arrhythmias. * History of any surgical intervention known to impact absorption (e.g., bariatric surgery or bowel resection). * Compromised renal function at screening as determined by creatinine levels \>1.5mg/dL and/or creatinine clearance \<45mL/min based on Cockcroft-Gault calculation. * Liver dysfunction at screening as evidenced by alanine transaminase (ALT/SGPT) values \> 2X upper limit of normal or aspartate transaminase (AST/SGOT) values \> 3X upper limit of normal or total bilirubin \> 2X upper limit of normal. * Has donated or lost 450 mL or more of his blood volume (including plasmapheresis), or had a transfusion of any blood product within 3 months prior to Day 1. * Has a history of abnormal (clinically significant) electrocardiogram (ECG). Entry of any participant with an abnormal (not clinically significant) ECG must be approved, and documented by signature by the principal investigator. * Has abnormal Screening or Day 1 vital sign values that suggest a clinically significant underlying disease. * Is at risk of suicide, has made a suicide attempt within the last year or has current active suicidal ideation. In accordance with previous FDA regulated studies on patients with FXS this determination will include asking 3 questions. 1) Has the subject made a suicide attempt? 2) Has the subject expressed any (active) suicidal thoughts or intent to harm him/herself or others? 3) Has there been a significant increase in the severity or frequency of self-injurious behaviors, or harm toward others, such that continued safety is a concern? * Laboratory abnormalities in B12, or other common lab parameters that might contribute to cognition or participation in study * In the opinion of the investigator or sponsor, the participant is unsuitable for inclusion in the study.