solve the following equation x+5/6-x+1/9=x+3/4
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Since, L.C.M. of denominators 6, 9 and 4 = 36
∴ (a + 5)/6 × 36 – (a + 1)/9 × 36 = (a + 3)/4 × 36
(Multiplying each term by 36)
⇒ 6(a + 5) – 4(a + 1) = 9(a + 3)
⇒ 6a + 30 – 4a – 4 = 9a + 27
⇒ 6a – 4a – 9a = 27 – 30 + 4
⇒ 6a – 13a = 1
⇒ -7a = 1
⇒ a = -(1/7)
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