Artificial Intelligence (AI) is widely used in Industry 4.0 and Industry 5.0 applications for anomaly detection and predictive analytics. However, the opaque decision-making of most Machine Learning (ML) models limits interpretability and hinders effective decision-making and root cause analysis. Explainable AI (XAI) seeks to address these challenges; however, the combined processes of anomaly detection and explanation generation often require substantial domain expertise, limiting their accessibility to a broader audience. To address this gap, this paper presents EXACT (EXplainable Anomaly Classification Tool), a novel, modular software framework that enables practitioners and researchers to rapidly and easily perform explainable anomaly detection on time-series data, regardless of domain expertise. EXACT integrates time-series anomaly detection with XAI techniques into a single end-to-end workflow, including data handling, anomaly injection, parameter tuning, model training, anomaly detection, explanation generation, and visualization, making these features broadly accessible and user-friendly to the wider community. The effectiveness of EXACT is demonstrated through rigorous evaluations conducted on three public time-series datasets from distinct domains, using three anomaly detection models and three widely adopted XAI methods. Among these, XGBoost exhibits the most balanced predictive performance, achieving 99.96% accuracy, 82.61% F1-score, and 98.59% ROC-AUC on the Credit Card Fraud dataset, while Decision Trees demonstrate significantly lower training times. In terms of explainability, SHAP consistently delivers high-quality feature rankings, reaching an NDCG score of 0.98 on the Credit Card Fraud dataset, whereas LIME provides substantially faster explanation generation. These results demonstrate that EXACT effectively facilitates explainable anomaly detection in an efficient, user-friendly manner, while also providing a systematic analysis of trade-offs among predictive performance, interpretability, and computational efficiency. EXACT is publicly available at GitHub (https://github.com/TedBoman/EXACT), and the community is invited to contribute to its continued development and extension.