Rozwiązywanie równań - Matematyka Szkoła Podstawowa i Gimnazjum

In this video, I show how to solve linear equations with one unknown. I teach the method of clearing expressions on one side of the equation and demonstrate how to use **inverse operations**, such as subtracting instead of adding, dividing instead of multiplying, and vice versa. I present examples of equations with x on the left or right side, equations containing common and decimal fractions, cases with negative numbers, and equations where x appears on both sides. Step by step, I explain how to move all terms with x to one side, simplify the equation, and obtain the result as a number or a mixed number, following the rules of proper mathematical notation. Table of contents: 1. Definition of an equation’s solution 2. Choosing the side for x and clearing terms 3. Solving equations of the type x + number = number 4. Solving equations of the type x – number = number 5. Solving equations of the type number · x = number 6. Solving equations of the type x ÷ number = number 7. Using fractions in equations 8. Multiplying by the reciprocal of a fraction 9. Converting a mixed number into an improper fraction 10. Solving equations with x on the right side 11. Solving equations with negative numbers next to x 12. Using division by –1 to remove the minus sign 13. Equations with x on both sides of the equation 14. Moving terms with x to one side 15. Clearing and simplifying expressions after moving terms 16. Converting an improper fraction into a mixed number 17. Summary of the clearing method in solving equations Continuation of this video: [   • Dokończenie filmu p.t. Rozwiązywanie układ...  ](   • Dokończenie filmu p.t. Rozwiązywanie układ...  ) Playlist where you’ll find 192 solved equations of various difficulty levels: [   • Rozwiązywanie równań - 192 rozwiązane zadania  ](   • Rozwiązywanie równań - 192 rozwiązane zadania  ) Easy access to all my math lessons: [www.matmagwiazdy.pl](http://www.matmagwiazdy.pl) On this channel, you will find the complete math course – 100% of the lessons – for Primary School, High School, and Technical School. Good luck Tomasz D. Gwiazda **CHAPTERS** 0:00 Solving equations 5:46 Example: x - 5 = 4 6:30 Example: 4x = 20 7:30 Example: x : 3 = 5 9:18 Example: 2/3 x = 6 10:20 Example: 1 1/3 x = 3 11:33 Example: 4 = x + 2 12:11 Example: 6 = x - 8 12:34 Example: 2 = 3x 13:00 Example: 4 = x/2 13:39 Example: -x + 2 = 5 16:10 Example: -2x = 4 16:50 Example: 2x + 5 = 4 - x **END OF CHAPTERS**