Solving Multistep Equations

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What is a multistep equation?

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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 isolating the variable.

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The first step is to isolate the variable by moving all terms involving p to one side of the equation. This can be done by subtracting 4p from both sides.

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x = -8.

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What does it mean to isolate a variable in an equation?

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Isolating a variable means to manipulate the equation so that the variable is on one side by itself, making it easier to solve for its value.

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x = 2.

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How do you check if your solution to an equation is correct?

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You can check your solution by substituting the value back into the original equation to see if both sides are equal.

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What is the distributive property?

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The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by each term inside a set of parentheses.

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n = 2.

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What does it mean if an equation has no solution?

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An equation has no solution if there are no values that can satisfy the equation, often resulting in a contradiction.

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x = 0.