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Solving Equations with Variables on Both Sides

Learn how to solve equations with variables on both sides using step-by-step instructions. Apply the distributive property, combine like terms, and isolate the variable to find the solution. Confirm your answer by following the algorithm. Simplify the expressions, undo operations, and reach a positive 1 coefficient for the variable.

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Solving Equations with Variables on Both Sides

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  1. Solving Equations Variables on Both Sides Medina

  2. get the letter by itself Steps to solve variable 1. Use distributive property on each side 2. Combine like terms on each side 3. Get the variable on one side • 4. Undo addition or subtraction • 5. Undo multiplication or division You may not have to do all the steps to solve the equation “You know you are done solving when there is a positive 1 in front of the variable.” Medina

  3. Solving Equations with Algorithm Original problem Combine like terms To Solve: Subtract 3x from both sides Simplify Add 6 to both sides Simplify Divide both sides by 3 Check answer Medina

  4. Solving Equations with Algorithm Continue with check: Check: Medina

  5. Solving Equations with Algorithm Original problem Distributive Property Combine like terms To Solve: Subtract 3x to both sides Simplify Subtract 12 to both sides Simplify Divide both sides by 3 Check answer Medina

  6. Solving Equations with Algorithm Continue with check: Check: Medina

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