Solving Equations with Variables on Both Sides

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Combine like terms and isolate the variable. In this case, the equation simplifies to show that there is no solution.

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What does it mean if an equation has 'No Solution'?

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It means that there are no values for the variable that can satisfy the equation.

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Back

Distribute -3 to both x and -2.

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Back

Subtract 5 from both sides to isolate the term with the variable.

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What does it mean if an equation has 'Infinitely Many Solutions'?

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It means that there are an infinite number of values for the variable that can satisfy the equation.

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x = \frac{3}{2}.

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What is the principle of balancing equations?

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Whatever you do to one side of the equation, you must do to the other side to maintain equality.

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What is the purpose of distributing in an equation?

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To eliminate parentheses and simplify the equation for easier solving.

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How do you isolate a variable in an equation?

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By performing inverse operations to get the variable alone on one side of the equation.

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What is a variable in an equation?

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A symbol, often a letter, that represents an unknown value.