Solve Equations with Variables on both sides

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What is an equation?

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An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

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What does it mean to solve an equation with variables on both sides?

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It means to find the value of the variable that makes both sides of the equation equal, often requiring rearranging the equation.

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What is the first step in solving an equation with variables on both sides?

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The first step is to simplify both sides of the equation, if possible, and then move all variable terms to one side and constant terms to the other.

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Write an equation for the following situation: A number decreased by 5 equals 12.

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

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To isolate the variable means to manipulate the equation so that the variable is on one side by itself, making it easier to solve.

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What is the purpose of checking your solution after solving an equation?

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To verify that the solution satisfies the original equation, ensuring it is correct.