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Solving Multi-Step Equations with Variables on Both Sides

Solving Multi-Step Equations with Variables on Both Sides. Distribute first, if necessary Combine like terms, if necessary When there’s a variable on both sides, pick one to get rid of. You should have a 2-step equation left, so get rid of the number being added/subtracted.

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Solving Multi-Step Equations with Variables on Both Sides

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  1. Solving Multi-Step Equations with Variables on Both Sides

  2. Distribute first, if necessary Combine like terms, if necessary When there’s a variable on both sides, pick one to get rid of. You should have a 2-step equation left, so get rid of the number being added/subtracted. Get rid of the number next to the x by doing the opposite operation. Steps

  3. Calculations Steps 5(t + 3) + 9 = 3(t – 2) + 6 5t + 15 + 9 = 3t – 6 + 6 5t + 24 = 3t 24 = -2t t = -12 • Distribute • Combine like terms • Both sides have a “t” term, so pick one to get rid of. (subtract 5t to both sides) • Divide both sides by -2 Example

  4. Calculations Explanation 5(t + 3) + 9 = 3(t – 2) + 6 5t + 15 + 9 = 3t – 6 + 6 5t + 24 = 3t 2t = 24 t = 12 • Distribute • Combine like terms • Subtract 3t to both sides • The equal sign moved incorrectly. It should be on the right side of 24, not to the left. The correct way to finish this problem is: 2t + 24 = 0 2t = -24 t = -12 Non - Example

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