$\"\"$

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The equation is $\"\"$ .

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Apply subtraction property of equality: Subtract 7 from each side.

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$\"\"$

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$\"\"$ (Apply additive inverse property: $\"\"$ )

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Apply commutative property of addition: a + b = b + a.

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$\"\"$

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$\"\"$ (Subtract: 16 $\"\"$ 7 = 9) $\"\"$

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Apply addition property of equality: Add $\"\"$ to each side.

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$\"\"$

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$\"\"$ (Apply additive inverse property: $\"\"$ ) $\"\"$

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To add the fractions denominators must be equal.

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Find the least common denominator (LCD).

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Multiples of 2: 2,4,6,8,10,12,14,..............

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Multiples of 5: 5,10,15,20,25,..................

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The least common multiple of 2 and 5 is 10.

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Rewrite each fraction with common denominator 10.

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ (LCM is 10)

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$\"\"$ (Add: $\"\"$ ) $\"\"$

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Apply multiplication property of equality: Multiply each side by $\"\"$ .

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$\"\"$

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$\"\"$ (Cancel common terms)

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

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$\"\"$ (Divide: $\"\"$ ) $\"\"$

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Check:

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To check the solution, substitute $\"\"$ in original equation $\"\"$ .

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$\"\"$

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

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$\"\"$ (Add: $\"\"$ )

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11.09 = 11.09 (Subtract: $\"\"$ )

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The equality is true. $\"\"$

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The value of $\"\"$ .