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Solving Two-Step Equations

This guide provides a clear, step-by-step approach to solving two-step equations. Starting with multiplying out any brackets, we demonstrate how to isolate the variable by eliminating constants and using multiplication or division. The guide includes several examples for practice, such as solving equations like 3x - 6 = 15 and -3(2x - 4) = -12. With practice problems provided, learners can solidify their understanding of two-step equations and enhance their algebra skills effectively.

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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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