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Solving Equations with the variable on both sides for algebra students This interactive learning object may contain content that is protected by copyright laws. All of this material was obtained and used by following a reasoned analysis of the Fair Use exemption for educators. This presentation may not be sold or reproduced under any circumstances.

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StepsVideoExamplesQuiz Home: References Home Page Navigate through the above menu to learn more about solving equations with the variable on both sides. Suggested Order: Steps Video Examples Quiz

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StepsVideoExamplesQuiz Home: References Steps for solving equations with the variable on both sides Step 4: Solve for variable (Multiply or Divide to solve for the variable) Step 3: Isolate the variable (move the constant terms to opposite side of the variable) Step 2: Move the variable to one side (the side with the bigger coefficient ) Step 1: Simplify Equation (Use Distributive Property and Combine Like Terms)

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StepsVideoExamplesQuiz Home: References Click Video to Start

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StepsVideoExamplesQuiz Home: References Choose one of the following examples: Example 1: 2x + 5 = 4x 7 Example 2: 3 (x + 2) = -2x 9

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StepsVideoExamplesQuiz Home: References Example 2 Example 1: 2x + 5 = 4x 7 Step 1 (Simplify): No need to simplify since already in simplest terms Step 2 (Move Variable to one side): We will move the variable to the right since 4x is bigger than 2x: 2x + 5 = 4x 7. -2x -2x. 5 = 2x 7 Step 3 (Move constant terms):. +7 +7. 12 = 2x Step 4 (Solve for Variable):. 2 2. 6 = x Thus the answer is x = 6

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StepsVideoExamplesQuiz Home: References Example 1 Example 2: 3 (x + 2) = -2x 9 Step 1 (Simplify): Step 2 (Move Variable to one side): Step 3 (Move constant terms): Step 4 (Solve for Variable): Thus the answer is x = -3 3 (x + 2) = -2x 9 3x + 6 = -2x 9.+2x +2x. 5x + 6 = -9. - 6 - 6. 5x = -15. 5 5. x = -3

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StepsVideoExamplesQuiz Home: References Ready to Start the Quiz? Start the Quiz!!!

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StepsVideoExamplesQuiz Home: References Question #1 Solve 3x + 4 = -3x + 28 for x. 5 41 6

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StepsVideoExamplesQuiz Home: References Question #2 Solve 4 (x 2) = -5x + 55 for x. 7 5 3

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StepsVideoExamplesQuiz Home: References Question #3 Solve -(x + 5) = 3(x + 1) for x. -3-2 0

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StepsVideoExamplesQuiz Home: References Question #4 Solve 5(x + 1) = -3x + x - 30 for x. -3 4 -5

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Wrong Try Again Check Out Examples Again Check Out Video Again

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Correct!! Question 1Question 2Question 4Question 3 The End

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StepsVideoExamplesQuiz Home: References The End

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StepsVideoExamplesQuiz Home: References Kahn, Sal. "Variables on Both Sides | Solving Equations Examples and Practice |Khan Academy." Khan Academy. N.p., n.d. Web. 17 Sept. 2013.