Solving Multistep Equations

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What is a multistep equation?

Back

A multistep equation is an equation that requires more than one step to solve. It often involves combining like terms, using the distributive property, and applying inverse operations.

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Back

The solution is x = -12.

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What property is used when you subtract the same number from both sides of an equation?

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This is called the Subtraction Property of Equality.

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What is the solution to the equation 5x - 6 = 2x + 3?

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The solution is x = 3.

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What is the first step to solve the equation 2m + 6m = 32?

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Combine like terms: 8m = 32.

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What is the solution to the equation 2m + 6m = 32?

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The solution is m = 4.

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What does the Addition Property of Equality state?

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It states that if you add the same number to both sides of an equation, the two sides remain equal.

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What is the distributive property?

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The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.

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How do you isolate a variable in an equation?

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You perform inverse operations to get the variable by itself on one side of the equation.