$\"\"$ $\"\"$

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The equation is $\"\"$

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Addition property of equality: If a = b then a + c = b + c.

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$\"\"$ (Add 2 to each side)

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$\"\"$ (Additive inverse property: $\"\"$ )

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$\"\"$ (Additive identity property: $\"\"$ )

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$\"\"$

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Find the least common denominator (LCD).

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Multiples of 1: 1,2,3,4,5,6,7,8,9.....

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Multiples of 2: 2,4,6,8,10,12.......

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The least common multiple of 1 and 2 is 2.

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Rewrite each fraction with a common denominator of 2.

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ (Multiply each side by 2)

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$\"\"$ (Cancel common terms) \ \

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$\"\"$

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$\"\"$

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Check:

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Substitutive the value $\"\"$ on original equation

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$\"\"$

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$\"\"$ (Multiply: $\"\"$ ) \ \

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Find the least common denominator (LCD).

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Multiples of 1: 1,2,3,4,5,6,7,8,9.....

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Multiples of 2: 2,4,6,8,10,12.......

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The least common multiple of 1 and 2 is 2.

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Rewrite each fraction with a common denominator of 2.

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ (Subtract: $\"\"$ ) \ \

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The equation is true. \ \ $\"\"$

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The solution $\"\"$ .