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**Solve the following equation:**

`"x"/3 - 2 1/2 = "4x"/9 - "2x"/3`

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#### Solution

⇒ `"x"/3 - 5/2 = "4x"/9 - "2x"/3`

Since, L.C.M. of denominators 3, 2, 9 and 3 = 18

⇒ `"x"/3 xx 18 - 5/2 xx 18 = "4x"/9 xx 18 - "2x"/3 xx 18`

.....[Multiplying each term by 18]

⇒ 6x - 45 = 8x - 12x

⇒ 6x + 12x - 8x = 45

⇒ 18x - 8x = 45

⇒ 10x = 45

⇒ x = `45/10`

⇒ x = 4.5

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