Variables on both sides

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What is a variable in an equation?

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A symbol used to represent an unknown value in mathematical expressions or equations.

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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.

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Back

Combine like terms on both sides of the equation.

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Combine the coefficients of the like terms: 4n - 6n = -2n.

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x = -12.

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Back

Distribute -2 to both terms inside the parentheses, then combine like terms.

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x = 8.

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

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To manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

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

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To verify that the solution satisfies the original equation.

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What is a coefficient in an algebraic expression?

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A numerical factor that multiplies a variable.