Multi Step Solving Equations with Variables on Both Sides

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What is a multi-step equation?

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A multi-step equation is an equation that requires more than one step to solve, often involving operations like addition, subtraction, multiplication, and division.

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What does it mean to have variables on both sides of an equation?

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It means that the variable (like x) appears on both the left and right sides of the equation, requiring manipulation to isolate the variable.

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How do you isolate a variable in an equation?

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To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation.

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Multiply both sides by 5 to eliminate the fraction.

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x = 15.

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x = -7.

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Combine like terms and isolate n to find n = 3.

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Subtract 11 from both sides.

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What does it mean to combine like terms in an equation?

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Combining like terms means to add or subtract terms that have the same variable raised to the same power.

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What is the purpose of checking your solution in an equation?

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To verify that the solution satisfies the original equation and is correct.