Solving 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?

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To solve an equation means to find the value(s) of the variable(s) that make the equation true.

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What are variables in an equation?

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Variables are symbols (usually letters) that represent unknown values in mathematical expressions or equations.

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What is the goal when solving equations with variables on both sides?

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The goal is to isolate the variable on one side of the equation to find its value.

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The first step is to get all terms containing the variable on one side and constant terms on the other side.

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How do you combine like terms in an equation?

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Combine like terms by adding or subtracting the coefficients of the same variable or constant terms.

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

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Substitute the solution back into the original equation to verify that both sides are equal.

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What does it mean to isolate a variable?

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Isolating a variable means to manipulate the equation so that the variable is alone on one side of the equation.