Solving Equations

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Add 11 to both sides.

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-18

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48

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Multiply both sides by -5.

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Translate the equation from words to Algebra: 5 times a number x minus 4 is equivalent to 16.

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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.

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

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To isolate a variable means to manipulate the equation so that the variable is on one side and all other terms are on the other side.

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What is the purpose of adding or subtracting the same number from both sides of an equation?

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It maintains the equality of the equation while simplifying it.

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What is the principle of multiplication in solving equations?

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If you multiply both sides of an equation by the same non-zero number, the two sides remain equal.

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