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Solving Two-Step Equations

Solving Two-Step Equations. Step 1. Multiply out any brackets: 2(x + 3) = 20 2x + 6 = 20. Step 2. Add or subtract to get rid of the constant: 2x + 6 = 20 2x + 6 – 6 = 20 – 6 2x = 14. Step 3. Multiply or divide to isolate the variable: 2x = 14 2x = 14 2 2 x = 7.

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Solving Two-Step Equations

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  1. Solving Two-Step Equations

  2. Step 1 • Multiply out any brackets: 2(x + 3) = 20 2x + 6 = 20

  3. Step 2 • Add or subtract to get rid of the constant: 2x + 6 = 20 2x + 6 – 6 = 20 – 6 2x = 14

  4. Step 3 • Multiply or divide to isolate the variable: 2x = 14 2x = 14 2 2 x = 7

  5. Example 1 3x – 6 = 15 3x – 6 + 6 = 15 + 6 3x = 21 3 3 x = 7

  6. Example 2 + 7 = 12 + 7 – 7 = 12 - 7 = 5 x 2 = 5 x 2 x = 10

  7. Example 3 -3(2x - 4) = -12 -6x + 12 = -12 -6x + 12 – 12 = -12 – 12 -6x = -24 -6 -6 x = 4

  8. Practice • 2 + 4x = 2 2) -4x – 5 = -29 3) 4x + 5 = 25 4) -2x + 6 = -8 5) 1 + 2x = -1 6) -6(x + 1) = -24

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