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

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The equation is $\"\"$ .

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According to addition property of equality: if a = b, then a + c = b + c.

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

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$\"\"$ (Commutative property: a + b = b + a)

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

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Find the least common denominator (LCD).

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Multiples of 15: 15,30,45,60,.....

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

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The least common multiple of 15 and 5 is 15.

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Rewrite each fraction with a common denominator of 15.

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$\"\"$

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$\"\"$

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$\"\"$ (LCM is 15)

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$\"\"$ (Add: 2 + 3 = 5) $\"\"$

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According to Multiplication property of equality: if $\"\"$ , then $\"\"$ .

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$\"\"$ (Multiply each side by 9)

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$\"\"$ (Cancel common terms)

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

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

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According to addition property of equality: if a = b, then $\"\"$ .

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$\"\"$ (Divide each side by negative 4)

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

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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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Find the least common denominator (LCD).

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

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Multiples of 3: 3,6,9,12,15,18,21,.........

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The least common multiple of 3 and 5 is 15.

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Rewrite each fraction with a common denominator of 15.

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ (LCM is 15)

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$\"\"$ (Add: - 3 + 5 = 2)

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Compare the values, the equation is true. The solution is $\"\"$ . $\"\"$

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The value of $\"\"$ .