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How to Solve a Linear Equation Step by Step

Learn how to solve linear equations by applying the same operation to both sides, illustrated through examples with varying numbers. Follow the steps to isolate the variable and find the solution accurately.

mackenzie-levine
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How to Solve a Linear Equation Step by Step

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  1. How to solve the7x + 3 = 13 + 2xtype of equation The7, 3, 13and2 could be any numbers

  2. 7x + 3 = 13 + 2x 7x + 3 – 3 = 13 + 2x - 3 You get rid of the + 3with a - 3

  3. 7x + 3 = 13 + 2x 7x + 3 – 3 = 13 + 2x - 3 7x = 10 + 2x You get rid of the + 3with a - 3

  4. 7x + 3 = 13 + 2x 7x + 3 – 3 = 13 + 2x - 3 7x = 10 + 2x 7x – 2x = 10 + 2x – 2x You get rid of the + 3with a - 3 Get rid of the 2x by taking away 2x from both sides

  5. You get rid of the + 3with a - 3 7x + 3 = 13 + 2x 7x + 3 – 3 = 13 + 2x - 3 7x = 10 + 2x 7x – 2x = 10 + 2x – 2x 5x = 10 Get rid of the 2x by taking away 2x from both sides then divide both sides by 5

  6. 7x + 3 = 13 + 2x 7x + 3 – 3 = 13 + 2x - 3 7x = 10 + 2x 7x – 2x = 10 + 2x – 2x 5x = 10 x = 10/5 You get rid of the + 3with a - 3 Get rid of the 2x by taking away 2x from both sides then divide both sides by 5 Divide both sides by 5

  7. 7x + 3 = 13 + 2x 7x + 3 – 3 = 13 + 2x - 3 7x = 10 + 2x 7x – 2x = 10 + 2x – 2x 5x = 10 x = 10/5 x = 2 You get rid of the + 3with a - 3 Get rid of the 2x by taking away 2x from both sides then divide both sides by 5 Divide both sides by 5

  8. 5x – 3 = 21 – x Here is another example The 5, 3 and 21 can be any numbers

  9. 5x – 3 = 21 - x You get rid of the – 3by + 3

  10. 5x – 3 = 21 - x 5x – 3 + 3 = 21 + 3 You get rid of the – 3by + 3

  11. 5x – 3 = 21 - x 5x – 3 + 3 = 21 + 3 5x = 24 – x You get rid of the – 3by + 3

  12. 5x – 3 = 21 - x 5x – 3 + 3 = 21 + 3 5x = 24 – x You get rid of the – 3by + 3 Get rid of the - x by a + x on both sides

  13. 5x – 3 = 21 - x 5x – 3 + 3 = 21 + 3 5x = 24 – x 5x + x = 24 – x + x You get rid of the – 3by + 3 Get rid of the - x by a + x on both sides

  14. 5x – 3 = 21 - x 5x – 3 + 3 = 21 + 3 5x = 24 – x 5x + x = 24 – x + x 6x = 24 You get rid of the – 3by + 3 Get rid of the - x by a + x on both sides

  15. 5x – 3 = 21 - x 5x – 3 + 3 = 21 + 3 5x = 24 – x 5x + x = 24 – x + x 6x = 24 x = 24/6 You get rid of the – 3by + 3 Get rid of the - x by a + x on both sides Divide both sides by 6

  16. 5x – 3 = 21 - x 5x – 3 + 3 = 21 + 3 5x = 24 – x 5x + x = 24 – x + x 6x = 24 x = 24/6 x = 4 You get rid of the – 3by + 3 Get rid of the - x by a + x on both sides Divide both sides by 6

  17. Try these

  18. Remember, always do the same thing to both sides. Felix is checking that you do this properly. 5x + 3 = 43 + 3x 5x + 3 – 3 = 43 – 3 5x = 40 + 3x 5x – 3x = 40 + 3x – 3x 2x = 40 x = 20

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