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Solving Multi Step Equations

Learn step-by-step methods for solving equations with variables on both sides. Practice implementing key strategies and simplify equations efficiently.

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Solving Multi Step Equations

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  1. Solving Multi Step Equations Lesson 2-4 SOL A.4

  2. Steps for Solving Equations 2 ( x – 1) + 4x = 3x + 7 • Simplify each side. Use Distributive Property 2x – 2 + 4x = 3x +7 Combine like terms 6x – 2 = 3x +7 2. Add or Subtract on both sides of equation to isolate the variable 2. Add or Subtract on both sides of equation to isolate the variable 6x -2 = 3x +7 +2 = +2 6x = 3x + 9 -3x = -3x 3x = 9

  3. Steps to solving Equations • Multiply or divide both sides to solve for x. 3x = 9 3 3 x = 3 Check 2 (x – 1) + 4x = 3x + 7 2 (3 – 1) + 4(3) = 3(3) +7 2 (2) + 12 = 9 +7 4 +12 = 9 +7 16 = 16

  4. I Like To Move IT!

  5. Solving Equations with Variables on Both Sides 4x – 3 = 2x +17 +3 = +3 4x = 2x + 20 -2x = -2x 2x = 20 • = 2 X = 10 Check 4(10) – 3 = 2(10) +17 40-3 = 20 +17 37 = 37

  6. Practice • 8m – 3 – 3m = 4 ( 3m +1) • 3 – 2w – 5 = 5w – 22 + 3w • 3(8y +2) = 10y + 2(7y + 3)

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